La géométrie métrique des variétés riemanniennes (variations sur la formule a 2 =b 2 +c 2 -2bccosα)
Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984, Astérisque no. S131  (1985), p. 9-66
@incollection{AST_1985__S131__9_0,
     author = {Berger, Marcel},
     title = {La g\'eom\'etrie m\'etrique des vari\'et\'es riemanniennes (variations sur la formule $a^2 = b^2 + c^2 - 2bc \cos \alpha)$},
     booktitle = {\'Elie Cartan et les math\'ematiques d'aujourd'hui - Lyon, 25-29 juin 1984},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {S131},
     year = {1985},
     pages = {9-66},
     zbl = {0615.53028},
     mrnumber = {837193},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1985__S131__9_0}
}
Berger, Marcel. La géométrie métrique des variétés riemanniennes (variations sur la formule $a^2 = b^2 + c^2 - 2bc \cos \alpha)$, in Élie Cartan et les mathématiques d'aujourd'hui - Lyon, 25-29 juin 1984, Astérisque, no. S131 (1985), pp. 9-66. http://www.numdam.org/item/AST_1985__S131__9_0/

[A] Ambrose (W.). - Parallel translation of Riemannian curvature, Ann. of Math., t. 64, 1956, p. 337-363. | Article | MR 102841 | Zbl 0075.17402

[AV] Alexandrov (A. D.). - La géométrie intérieure des surfaces convexes. - Akademie-Verlag, 1955, (existe en russe et en allemand).

[A-P-S] Atiyah (M.), Patodi (V.), Singer (I.). - Spectral asymmetry and Riemannian Geometry I, Math. Proc. Cambridge Philos. Soc., t. 77, 1975, p. 43-69 | Article | MR 397797 | Zbl 0297.58008

Atiyah (M.), Patodi (V.), Singer (I.). - Spectral asymmetry and Riemannian Geometry II, Math. Proc. Cambridge Philos. Soc., t. 78, 1976, p. 405-432 | Article | MR 397798 | Zbl 0314.58016

Atiyah (M.), Patodi (V.), Singer (I.). - Spectral asymmetry and Riemannian Geometry III, Math. Proc. Cambridge Philos. Soc., t. 79, 1976, p. 315-330. | MR 397799 | Zbl 0325.58015

[B-E] Ballmann (W.), Eberlein (P.). - (à paraître).

[B-B-E] Ballmann (W.), Brin (M.), Eberlein (P.). - Structure of manifolds of non-positive curvature I, Preprint Univ. of Maryland 1984. | MR 799256

[B-B-S] Ballmann (W.), Brin (M.), Spatzier (R.). - Structure of manifolds of nonpositive curvature II, (à paraître). | Article | Zbl 0598.53046

[Ba] Banchoff (T.). - Critical points and curvature for embedded polyhedra, J. Diff. Geometry, t. 1, 1967, p. 245-256. | Article | MR 225327 | Zbl 0164.22903

[Bav] Bavard (C.). - Courbure presque négative en dimension 3. Preprint École Polytechnique 1985. | MR 906372 | Zbl 0642.53047

[B-P] Bavard (C.), Pansu (P.). - Sur le volume minimal de R 2 . Preprint École Polytechnique 1984. | MR 875084 | Zbl 0611.53038

[B1] Berger (M.). - An extension of Rauch's metric comparison theorem and some applications, Illinois J. Math., t. 6, 1962, p. 700-712. | MR 143159 | Zbl 0113.37003

[B2] Berger (M.). - Une caractérisation purement métrique des variétés Riemanniennes à courbure constante, dans E.B. Christoffel, Birkhäuser 1981, p. 480-492. | MR 661090 | Zbl 0478.53014

[B3] Berger (M.). - H.E. Rauch, Géomètre différentiel, p. 1-14 de Differential Geometry and Complex Analysis, Berlin, Springer Verlag 1985. | MR 780032 | Zbl 0567.01030

[Be] Besse (A.). - Manifolds all of whose geodesics are closed. - Berlin, Springer-Verlag, 1978, (Ergebnisse der Math. n°93). | MR 496885 | Zbl 0387.53010

[B1] Blumenthal (L.). - Theory and Applications of Distance Geometry. - Chelsa 1970. | MR 268781 | Zbl 0208.24801

[B-M] Blumenthal (L.), Menger (K.). - Studies in Geometry. - Freeman 1970. | MR 273492 | Zbl 0204.53401

[B-D-S] Bourguignon (J.-P.), Descahmps (A.), Sentenac (P.). - Conjecture de Hopf sur les produits de variétés et quelques variations particulières d'un produit de métriques, Ann. Sci. École Norm. Sup., t. 5, 1972, p. 277-302 | Article | MR 336647 | Zbl 0241.53025

Bourguignon (J.-P.), Descahmps (A.), Sentenac (P.). - Conjecture de Hopf sur les produits de variétés et quelques variations particulières d'un produit de métriques, Ann. Sci. École Norm. Sup., t. 6, 1973 p. 1-16. | Article | MR 338999 | Zbl 0257.53040

[B-P] Bourguignon (J.-P.), Polombo (A.). - Intégrands des nombres caractéristiques et courbure : rien ne va plus dès la dimension 6, J. Diff. Geometry, t. 16, 1981, p. 537-550. | Article | MR 661653 | Zbl 0471.53032

[Bü] Von Braunmühl (A.). - Geodätische Linien und ihre Enveloppen auf dreiaxigen Flächen zweiten Grades, Math. Ann., t. XX, 1882, p. 557-586. | Article | JFM 14.0689.03 | MR 1510183

[Br] Brittain (D.). - (à paraître).

[Bh1] Buchner (M.). - Simplicial structure of the real analytic cut-locus, Proc. A.M.S., t. 64, 1977, p. 118-121. | Article | MR 474133 | Zbl 0373.53020

[Bh2] Buchner (M.). - Stability of the cut-locus in dim6, Inventiones Math., t. 43, 1977, p. 199-231. | MR 482816 | Zbl 0365.58010

[Bh3] Buchner (M.). - The structure of the cut-locus in dim6, Compositio Math., t. 37, 1978, p. 103-119. | MR 501100 | Zbl 0407.58008

[B-C] Bishop (R.), Crittenden (R.). - Geometry of Manifolds. - Academic Press, 1964. | MR 169148 | Zbl 0132.16003

[B-Z] Burago (Y.), Zalgaller (D.). - Convex sets in Riemannian spaces of nonegative curvature, Russian Math. Surveys, t. 32-3, 1977, p. 1-57. | Article | Zbl 0397.53031

[Bs1] Busemann (H.). - The Geometry of Geodesics. - Academic Press, 1955. | MR 75623 | Zbl 0112.37002

[Bs] Busemann (H.). - Recent synthetic Differtential Geometry. - Berlin, Springer-Verlag, 1970, (Ergebnisse der Math. n°54). | MR 296877 | Zbl 0194.53701

[B-G] Buser (P.), Gromoll (D.). - Gromov's examples of almost negatively curved metrics on S3, prépublication Lausanne 1983.

[B-K] Buser (P.), Karcher (H.). - Gromov's almost flat manifolds, in Astéristique n°81, Soc. Math. France 1981. | MR 619537 | Zbl 0459.53031

[Ca] Calabi (E.). - (non publié).

[C1] Cartan (É.). - Sur une classe remarquable d'espaces de Riemann, Bull. Soc. Math. France, t. 54, 1926, p. 214-264 | Article | JFM 52.0425.01 | MR 1504900

Cartan (É.). - Sur une classe remarquable d'espaces de Riemann, Bull. Soc. Math. France t. 55, 1927 p. 114-134 ou dans Oeuvres complètes. | Article | JFM 53.0390.01 | MR 1504909

[C2] Cartan (É.). - Sur certaines formes riemanniennes remarquables des géométries à groupe fondamental simple, Ann. Sci. Ecole Norm. Sup., t. 44, 1927, p. 345-467. | Article | JFM 53.0393.01 | MR 1509283

[C3] Cartan (É.). - La géométrie des espaces de Riemann. - Fascicule IX, Mémorial des Sciences mathématiques, Gauthier-Villars 1925. | JFM 51.0566.01

[C4] Cartan (É.). - Leçons sur la géométrie des espaces de Riemann. - Gauthier-Villars, 1928, seconde édition 1951. | MR 44878 | Zbl 0044.18401

[C5] Cartan (É.). - Groupes simples clos et ouverts et géométrie riemannienne, J. Math. Pures Appl., t. 8, 1929, p. 1-33 ou dans Oeuvres complètes. | JFM 55.0248.01

[Ch1] Cheeger (J.). - Finiteness theorems for a certain class of Riemannian manifolds, Amer. J. Math., t. 92, 1970, p. 61-74. | Article | MR 263092 | Zbl 0194.52902

[Ch2] Cheeger (J.). - On the Hodge theory of Riemannian pseudomanifolds, Proc. Sympos. Pure Math., t. 36, A.M.S., 1980, p. 91-145. | Article | MR 573430 | Zbl 0461.58002

[Ch3] Cheeger (J.). - Spectral Geometry of Singular Riemannian Spaces, J. Diff. Geometry, t. 18, 1983, p. 575-657. | Article | MR 730920 | Zbl 0529.58034

[Ch4] Cheeger (J.). - Analytic torsion and the heat equation, Ann. of Math., t. 109, 1979, p. 259-322. | Article | MR 528965 | Zbl 0412.58026

[C-E] Cheeger (J.), Ebin (D.). - Comparison theorems in Riemannian Geometry. American Elsevier, 1975. | MR 458335 | Zbl 0309.53035

[C-G] Cheeger (J.), Gromoll (D.). - On the structure of complete manifolds of nonnegative curvature, Ann. of Math., t. 96, 1974, p. 413-443. | Article | MR 309010 | Zbl 0246.53049

[C-M-S] Cheeger (J.), Müller (W.), Schrader (R.). - On the curvature of piecewise flat spaces, Comm. Math. Phys., t. 92, 1984, p. 405-454. | Article | MR 734226 | Zbl 0559.53028

[C-T] Cheeger (J.), Taylor (M.). - On the diffraction of waves by conical singularities, I, II, Comm. Pure Appl. Math., t. 35, 1982, p. 275-331 et p. 487-529 | Article | MR 657825 | Zbl 0536.58032

[Cr] Crittenden (R.). - Minimum and conjugate points in symmetric spaces, Cand. J. Math, t. 14, 1962, p. 320-328. | Article | MR 137077 | Zbl 0105.34801

[Do] Dodziuk (J.). - Finite-difference approach to the Hodge theory of harmonic forms, Amer. J. Math., t. 98, 1976, p. 79-104. | Article | MR 407872 | Zbl 0324.58001

[D-P] Dodziuk (J.), Patodi (V.). - Riemannian structures and triangulations of manifolds, (preprint). | Article | MR 488179 | Zbl 0435.58004

[Du1] Durumeric (O.). - Manifolds with almost equal diameter and injectivity radius, (thèse). - Stony Brook 1982. | MR 2632553

[Du2] Durumeric (O.). - A generalization of Berger's almost ¼-pinched manifolds theorem, I, Bull. Amer. Math. Soc., t. 12, 1985, p. 260-264. | Article | MR 776481 | Zbl 0563.53031

[E1] Eschenburg (J.). - New examples of manifolds of strictly positive curvature, Invent. Math., t. 66, 1982, p. 469-480. | Article | MR 662603 | Zbl 0484.53031

[E2] Eschenburg (J.). - Freie isometrische Aktionen auf kompakten Lie-Gruppen mit positiv gekrümmten Orbiträumen, (thèse). - Münster 1983. | MR 758252 | Zbl 0551.53024

[E-H] Eschenburg (J.), Heintze (E.). - An elementary proof of the Cheeger-Gromoll splitting theorem, Annals of Global Analysis and Geometry, t. 2, 1984, p. 141-151. | Article | MR 777905 | Zbl 0548.53041

[F²-L-R] Feinberg (G.), Friedberg (R.), Lee (T.), Reu (H.). - Preprint 1984, Columbia Univ.

[Fe] Ferus (D.). - Symmetric submanifolds of Euclidean space, Math. Ann., t. 247, 1980, p. 81-93. | Article | MR 565140 | Zbl 0446.53041

[F-L] Friedberg (R.), Lee (T.). - Preprint 1984, Columbia Univ.

[Fu] Fukaya (K.). - Finiteness theorems for negatively curved manifolds, (preprint 1983). | MR 788293 | Zbl 0542.53023

[Ga] Gabrielov (A.). - Combinatorial formulas for Pontryagin classes and GL-invariant chains, Functional Anal. Applic., t. 12, 1978, p. 1-7. | MR 498893 | Zbl 0407.57019

[Gi] Gasqui (J.). - Équivalence projective et équivalence conforme, Ann. Sci. École Norm. Sup., t. 12, 1979, p. 101-134. | Article | MR 532378 | Zbl 0419.53021

[G-S] Gluck (H.), Singer (D.). - Scattering of geodesics vector fields, Ann. of Math., t. 108 ; 1978, p. 347-372 | Article | MR 506991 | Zbl 0399.58011

Gluck (H.), Singer (D.). - Scattering of geodesics vector fields, Ann. of Math., t. 110, 1979, p. 202-225. | MR 549487 | Zbl 0436.53047

[G-K-M] Gromoll (D.), Klingenberg (W.), Meyer (W.). - Riemannsche Geometrie im Grossen, Berlin, Springer-Verlag 1968, (Lecture Notes in Math., 55). | MR 229177 | Zbl 0155.30701

[G-M] Gromoll (D.), Meyer (W.). - On complete open manifolds of positive curvature, Ann. of Math., t. 95, 1969, p. 75-90. | Article | MR 247590 | Zbl 0191.19904

[G-W] Gromoll (D.), Wolf (J.). - Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature, Bull. Amer. Math. Soc., t. 77, 1971, p. 545-552. | Article | MR 281122 | Zbl 0237.53037

[G1] Gromov (M.). - Manifolds of negative curvature, J. Diff. Geometry, t. 13, 1978, p. 223-230. | Article | MR 540941 | Zbl 0433.53028

[G2] Gromov (M.). - Conférences au Collège de France sur les variétés à courbure négative, à paraître rédigées par V. Schroeder.

[G3] Gromov (M.). - Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math., t. 56, 1983, p. 213-307. | MR 686042 | Zbl 0516.53046

[G4] Gromov (M.). - Curvature, diameter and Betti numbers, Comment. Math. Helv., t. 56, 1981, p. 179-195. | Article | MR 630949 | Zbl 0467.53021

[G5] Gromov (M.). - Infinite groups as geometric objects, Proceedings of ICM, Warsaw 1983. | Zbl 0599.20041

[G-L-P] Gromov (M.). - Structures métriques pour les variétés riemanniennes, rédigé par J. Lafontaine et P. Pansu, Textes Math. N°1, CEDIC-Nathan 1980. | MR 682063 | Zbl 0509.53034

[G-L] Gromov (M.), Lawson (B.). - Positive scalar curvature and the Dirac operator on complete Riemannian manifolds, Inst. Hautes Études Sci. Publ. Math., t. 58, 1984. | MR 720933 | Zbl 0538.53047

[G-S] Grove (K.), Shiohama (K.). - A generalized sphere theorem, Ann. of Math., t. 106, 1977, p. 202-211. | MR 500705 | Zbl 0341.53029

[Ha] Hadamard (J.). - Les surfaces à courbures opposées et leurs lignes géodésiques, J. Math. Pures Appl., t. 4, 1898, p. 27-73. | JFM 29.0522.01

[He] Hebda (J.). - Conjugate and cut-loci and the Cartan-Ambrose-Hicks theorem, Indiana Univ. Math. J., t. 31, 1982, p. 17-26. | Article | MR 642612 | Zbl 0485.53040

[H-K] Heintze (E.), Karcher (H.). - A general comparison theorem with applications to volume estimates for submanifolds, Ann. Sci. École Norm. Sup., t. 11, 1978, p. 451-470. | Article | MR 533065 | Zbl 0416.53027

[Hk] Hicks (N.). - Connexion preserving spray maps, Ill. J. Math., t. 10, 1966, p. 661-679. | MR 205190 | Zbl 0184.25203

[Hks] Hicks (N.). - Notes on Differential Geometry. - Van Nostrand, 1965. | MR 179691 | Zbl 0132.15104

[H-R] Hopf (H.), Rinow (W.). - Über den Begriff der vollständigen differentialgeometrischen Flächen, Comment. Math. Helv., t. 3, 1931, p. 209-225. | Article | JFM 57.0871.04 | MR 1509435 | Zbl 0002.35004

[Hs] Hsiang (W. Y.). - On the laws of trigonometries of two-point homogeneous spaces, (preprint Berkeley). | MR 1029843 | Zbl 0695.53036

[Hu] Huang (H.). - Some remarks on the pinching problem, Bull. Inst. Math. Acad. Sinica, t. 9, 1981, p. 389-401. | MR 625725 | Zbl 0477.53043

[Ii] Innami (N.). - Convexity in Riemannian manifolds without focal points, dans Advanced Studies in Pure Math., t. 3, 1984, p. 311-332, Kinokuniya Tokyo et North-Holland, 1984. | Article | MR 758659 | Zbl 0544.53035

[J-K] Jost (J.), Karcher (H.). - Geometrische Methoden zur Gewinnung von A-priori-Schranken für harmonische Abbildungen, Manuscripta math., t. 40, 1982, p. 27-77. | Article | MR 679120 | Zbl 0502.53036

[Ka] Karcher (H.). - Vorlesungen über Differential Geometrie, cours polycopié Bonn.

[Kt] Katsuda (A.). - Gromov's convergence theorem and its applications, (preprint 1983). | MR 818156 | Zbl 0587.53043

[K1] Klingenberg (W.). - Riemannian Geometry, de Gruyter Studies in Math. n°1 1982. | MR 666697 | Zbl 0495.53036

[Kw] Komorowski (J.). - Nets on a Riemannian manifold and finite-dimensional approximations of the Laplacian et A minorization of the firstpositive eigenvalue of the scalar Laplacian, (preprints de Inst. Math. Polish Acad. of Sciences, n°83 et 92). | MR 560917 | Zbl 0422.53022

[L-Y] Lawson (H.), Yau (S. T.). - Compact manifolds of nonpositive curvature, J. Diff. Geometry, t. 7, 1972, p. 211-228. | Article | MR 334083 | Zbl 0266.53035

[vMt] Van Mangoldt (H.). - Über diejenigen Punkte auf positiv gekrümmten Flächen welche die Eigenschaft haben, dass die von ihnen ausgehenden geodätischen Linien nie aufhören, kürzeste Linien zu sein, Crelle J., t. 91, 1881, p. 23-52. | JFM 13.0578.01 | MR 1579879

[Me] Meyer (D.). - Sur les variétés riemanniennes à opérateur de courbure positif, C.R. Acad. Sci. Paris, t. 272, 1971, p. 482-485. | MR 279736 | Zbl 0209.25301

[Mi] Milnor (J.). - Morse theory, Ann. of Math. Studies t. 51, Princeton, 1963. | MR 163331 | Zbl 0108.10401

[Mw1] Mostow (G.). - Strong rigidity of locally symmetric spaces, Ann. of Math. Studies, t. 78, 1973, p. 1-195. | MR 385004 | Zbl 0265.53039

[Mw2] Mostow (G.). - Discrete Subgroups of Lie Groups, Advances in Math, t. 16, 1975, p. 112-123. | Article | MR 466413 | Zbl 0305.22015

[Mü1] Müller (W.). - Analytic torsion and R-torsion of Riemannian manifolds, Advances in Math., t. 28, 1978, p. 233-305. | Article | MR 498252 | Zbl 0395.57011

[Mü2] Müller (W.). - Spectral theory for Riemannian manifolds with cusps and a related trace formula, Akad. Wiss. GDR report, 1982, et preprint I. H. E. S.. | MR 674295 | Zbl 0495.58031

[Mh] Munkholm (H.). - Simplices of maximal volume in hyperbolic space, Gromov's norm and Gromov's proof of Mostow's rigidity theorem (following Thurston), Proc. Symp. Algebraic Topology, Siegen 1979. | MR 585656 | Zbl 0434.57017

[My1] Myers (S.). - Connection between differential geometry and topology, I, Duke Math. J., t. 1, 1935, p. 376-391 | JFM 61.0787.02 | MR 1545884 | Zbl 0012.27502

Myers (S.). - Connection between differential geometry and topology, II, Duke Math. J., t. 2, 1936, p. 95-102. | Article | JFM 62.0861.02 | MR 1545908 | Zbl 0013.32201

[My2] Myers (S.). - Riemannian manifolds with positive mean curvature, Duke Math. J., t. 8, 1941, p. 401-404. | Article | JFM 67.0673.01 | MR 4518 | Zbl 0025.22704

[Pa] Palais (R.). - On the differentiability of isometries, Proc. A. M. S., t. 8, 1957, p. 805-807. | Article | MR 88000 | Zbl 0084.37405

[Ps] Peters (S.). - Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds, (preprint 1983). | MR 743966 | Zbl 0524.53025

[Pé] Poincaré (H.). - Sur les lignes géodésiques des surfaces convexes, Trans. Amer. Math. Soc., t. 5, 1905, p. 237-274. | JFM 36.0669.01 | MR 1500710

[Pr] Preissmann (A.). - Quelques propriétés globales des espaces de Riemann, Comment. Math. Helv., t. 15, 1942-1943, p. 175-216. | Article | MR 10459 | Zbl 0027.25903

[Rh] Rauch (H.). - A contribution to differential geometry in the large, Ann. of Math., t. 54, 1951, p. 38-55. | Article | MR 42765 | Zbl 0043.37202

[Re] Regge (T.). - General relativity without coordinates, Nuovo Cimento, t. 19, 1961, p. 551-571. | MR 127372

[Ri] Riemann (B.). - Über die Hypothesen, welche der Geometrie zu Grunde liegen, traduite dans SPIVAK, Differential Geometry, vol. II. | JFM 01.0022.02 | JFM 47.0770.01 | MR 3525305

[Rw] Rinow (W.). - Die innere Geometrie der metrischen Räume, Berlin, Springer-Verlag, 1961, (Grundlehren der Math. Wiss., 105). | MR 123969 | Zbl 0096.16302

[Ru] Ruh (E.). - Almost flat manifolds, J. Differential Geom., t. 17, 1982, p. 1-14. | Article | MR 658470 | Zbl 0468.53036

[Rd] Rund (H.). - The differential geometry of Finsler spaces, Berlin, Springer-Verlag, 1959, Grundlehren der Math. Wiss., 101). | MR 105726 | Zbl 0087.36604

[Si1] Sakai (T.). - On cut-loci in compact Riemannian spaces, Hokkaido Math. J., t. 6, 1977, p. 136-161. | Article | MR 643657 | Zbl 0361.53048

[Si2] Sakai (T.). - On the structure of cut-loci in compact Riemannian spaces, Math. Annalen, t. 235, 1978, p. 129-148. | Article | MR 500710 | Zbl 0362.53045

[Si3] Sakai (T.). - Cut-loci of Berger's spheres, Hokkaido Math. J., t. 10, 1980, p. 143-155. | Article | MR 616949 | Zbl 0469.53041

[Si4] Sakai (T.). - Comparison and finiteness theorems in Riemannian Geometry, Advanced Studies in Pure Math., t. 3, 1984, p. 125-181, Kinokuniya Tokyo et North-Holland, 1984. | Article | MR 758652 | Zbl 0578.53028

[Sr] Schroeder (V.). - Finite volume and fundamental groups on manifolds of negative curvature, J. Differential Geometry, t. 20, 1984, p. 175-183. | Article | MR 772130 | Zbl 0552.53015

[Sr1] Schroeder (V.). - Über die Fundamentalgruppe von Räumen nichtpositiver Krümmung mit endlichem Volumen, Schriftenreihe Math. Inst. Münster, 1984. | MR 736347 | Zbl 0524.53026

[Sr2] Schroeder (V.). - A splitting theorem for spaces of nonpositive curvature, Inventiones Math., t. 79, 1985, p. 323-328. | Article | MR 778131 | Zbl 0543.53036

[Sa] Shiga (K.). - Hadamard manifolds, Geometry of Geodesics and related topics, p. 239-281. - Kinokuniya, Tokyo et North-Holland (Adv. Studies in Pure Math.), 1984. | MR 758657 | Zbl 0565.53025

[Sh] Shiohama (K.). - Topology of complete noncompact manifolds, Adv. Studies in Pure Math., t. 3, Kinokuniya, Tokyo et North Holland, 1984. | Article | MR 758662 | Zbl 0551.53021

[Ss] Simons (J.). - On the transitivity of holonomy systems, Annals of Math., t. 76, 1962, p. 213-234. | Article | MR 148010 | Zbl 0106.15201

[S-T] Siu (Y.-T.), Yau (S. T.). - Compactifications of negatively curved complete Kähler manifolds of finite volume, Ann. of Math. Studies, t. 102, 1982, p. 363-380. | MR 645748 | Zbl 0493.53049

[S] Sternberg (S.). - Lectures on Differential Geometry. - Prentice-Hall, 1964. | MR 193578 | Zbl 0129.13102

[St] Stone (D.). - Geodesics in piecewise linear manifolds, Trans. Amer. Math. Soc., t. 215, 1976, p. 1-44. | Article | MR 402648 | Zbl 0328.53033

[Ta] Takeuchi (M.). - On conjugate loci and cut-loci of compact symmetric spaces I, Tsukuba J. Math., t. 2, 1978, p. 35-68 | Article | MR 531960 | Zbl 0435.53039

Takeuchi (M.). - On conjugate loci and cut-loci of compact symmetric spaces, II, Tsukuba J. Math., t. 3, 1979, p. 1-29. | Article | MR 543016 | Zbl 0448.53038

[To1] Toponogov (V.). - Riemannian spaces with curvature bounded below, Uspehi Math. Nauk, t. 14, 1959, p. 87-135. | MR 103510

[To2] Toponogov (V.). - Riemannian spaces which contain straight lines, Trans. Amer. Math. Soc., t. 37, 1964, p. 287-290. | Zbl 0138.42902

[Vi1] Ville (M.). - On (¼)-pinched 4-dimensional Riemannian manifolds of negative curvature, C. R. Acad. Sci., Paris, 1985. | Zbl 0606.53025 | Zbl 0575.53020

[Vi2] Ville (M.). - Sur le volume des variétés riemanniennes pincées, Bull. Soc. Math. France, 1985. | MR 919420 | Zbl 0634.53029

[Wl] Wall (C. T. C.). - Geometric properties of generic differentiable manifolds, Geometry and Topology, Berlin, Springer-Verlag, 1979, (Lecture Notes in Math, 597). | MR 494233 | Zbl 0361.58004

[Wa] Wald (A.). - Begründung einer koordinatenlosen Differentialgeometrie der Flächen, Ergebnisse der Math. Kolloq. Wien, t. 7, 1936, p. 24-46. | JFM 62.0806.01 | Zbl 0014.23001

[W-A] Wallach (N.), Aloff (S.). - An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures, Bull. Amer. Math. Soc., t. 81, 1975, p. 93-97. | Article | MR 370624 | Zbl 0362.53033

[Wr] Warner (F.). - The conjugate locus of Riemannian manifold, Amer. J. Math., t. 87, 1965, p. 575-604. | Article | MR 208534 | Zbl 0129.36002

[We] Weinstein (A.). - On the homotopy type of positively pinched manifolds, Arch. Math., t. 18, 1967, p. 523-524. | Article | MR 220311 | Zbl 0166.17601

[W-M-T] Wheeler (J.), Misner (C.), Thorne (K.). - Gravitation. - Freeman 1974. | MR 418833

[W-P] Wu (C. H.), Pati (V.). - (à paraître).

[Y] Yau (S. T.). - Seminar on Differential Geometry, edited by S.T. YAU, Ann. of Math. Studies, t. 102, 1982, p. 669-706. | MR 645762 | Zbl 0479.53001