@article{TSG_1987-1988__6__9_0, author = {Carri\`ere, Yves}, title = {Un survol de la th\'eorie des vari\'et\'es affines}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {9--22}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {6}, year = {1987-1988}, mrnumber = {1046252}, zbl = {0897.57024}, language = {fr}, url = {http://archive.numdam.org/item/TSG_1987-1988__6__9_0/} }
TY - JOUR AU - Carrière, Yves TI - Un survol de la théorie des variétés affines JO - Séminaire de théorie spectrale et géométrie PY - 1987-1988 SP - 9 EP - 22 VL - 6 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/item/TSG_1987-1988__6__9_0/ LA - fr ID - TSG_1987-1988__6__9_0 ER -
Carrière, Yves. Un survol de la théorie des variétés affines. Séminaire de théorie spectrale et géométrie, Tome 6 (1987-1988), pp. 9-22. http://archive.numdam.org/item/TSG_1987-1988__6__9_0/
[A] Simply transitive groups of affine motions, Am. J. Math., 99 ( 1977), 809-821. | MR | Zbl
-[Be1] Variétés localement affines et projectives, Bull. Soc. Math. France, 88 ( 1960), 229-332. | Numdam | MR | Zbl
-[Be2] Sur la classe d'Euler (ou Stiefel-Whitney) de fibres offins plats, C. R. Acad. Sci. Paris, 260 ( 1965), 5442-5444. | MR | Zbl
-[Bo] Structures affines sur les groupes de Lie nilpotents, Prépublication Université de Montpellier, 1985.
-[Bi] Über die Bewegungsgruppen der Euklidische Râume I, Math. Ann., 70 ( 1911), 297-336. | JFM | MR
-[Bu] A geometric proof of Bieberbach's theorems on crystallographic groups, L'Enseignement Math., 31 ( 1985), 137-145. | MR | Zbl
-[C] Autour de la conjecture de L. Markus sur les variétés affines, Prépublication Institut Fourier 96, à paraître dans Inventiones, 1989. | MR | Zbl
-[CD] Généralisations du 1er théorème de Bieberbach sur les groupes cristallographiques, en préparation, 1988. | Zbl
, . -[CEG] Notes on the notes of Thurston, in Analytical and Geometric Aspects of Hyperbolic Space pp. 3-92, Warwick and Durham 1984, London Math. Soc. Lecture Notes Series 111, Cambridge University Press, Cambridge, 1987. | MR | Zbl
, , -[Ch] Pseudo-riemannian geometry and Gauss-Bonnet formula, Ann. Acad. Brazil, 95 ( 1963), 17-26. | MR | Zbl
-[F1] Closed similarity manifolds, Comment. Math. Helv., 55 ( 1980), 576-582. | MR | Zbl
-[F2] Distality, completeness and affine structures, J. Diff. Geom., 24 ( 1986), 265-273. | MR | Zbl
-[F3] Flat Spacetimes, J.Diff. Geom., 26 ( 1987), 385-396. | MR | Zbl
-[F4] Polynomials on affine manifolds,Trans. Amer. Math. Soc., 274 ( 1982), 709-719. | MR | Zbl
-[FG] Three-dimensional affine crystallographic groups, Adv. in Math., 47 ( 1983), 1-49. | MR | Zbl
, . -[FGH] Affine manifolds with nilpotent holonomy, Comment. Math. Helv., 56 ( 1981), 487-523. | MR | Zbl
, , . -[FS] Fundamental groups of compact complete locally affine complex surfaces, Pacific J. Math., 44 ( 1973), 487-496. | MR | Zbl
, -[G1] Two examples of affine manifolds, Pacific J. Math., 94 ( 1981), 327-330. | MR | Zbl
. -[G2] Projective structures with fuchsian holonomy, J.Diff. Geom., 25 ( 1987), 297-326. | MR | Zbl
. -[GH1] The radiance obstruction and parallel forms on affine manifolds, Trans. Amer. Math. Soc., 286 ( 1984), 629-649. | MR | Zbl
, -[GH2] Affine manifolds and orbits of algebraic groups, Trans. Amer. Math. Soc., 295 ( 1986), 175-190. | MR | Zbl
, -[GK] The fondamental group of a compact flat Lorentz space form is virtualiy polycyclic, J.Diff. Geom., 19 ( 1984), 233-240. | MR | Zbl
, -[Gr1] Almost flat manifolds, J. Diff. Geom., 13 ( 1978), 231-242. | MR | Zbl
-[Gr2] Volume and bounded cohomology, Pub. MES, 56 ( 1982), 5-100. | Numdam | MR | Zbl
-[HT] Foliated bundles, invariant measures and flat manifolds, Annals of Math., 101 ( 1974), 369-390. | MR | Zbl
, -[Kob] Projectively invariant distances for affine and projective structures, in Differential Geometry, pp. 127-152, Banach Center Publications, Polish Scientific Publishers,Warsaw, 2, 1984. | MR | Zbl
-[Kos] Variétés localement plates et convexité, Osaka J. Math., 2 ( 1965), 285-290. | MR | Zbl
-[KS] The Euler characteristic of an affine space form is zero, Bull. Amer. Math. Soc, 81 ( 1975), 937-938. | MR | Zbl
, -[Kui] Sur les surfaces localement affines, Colloque de Géométrie différentielle, Strasbourg, pp.79-86, 1953. | MR | Zbl
-[Marg] Complete affine locally flat manifolds with a free fundamental group, J. Soviet Math., 36 ( 1987), 129-139. | Zbl
-[Mark] Cosmological models in differential geometry, mimeographed notes, University of Minnesota, 1962.
-[Mars] On completeness of honwgeneous pseudo-riemannian manifolds, Indina Math. J., 22 (1065>66), 1973. | Zbl
-[M1] On the existence of a connection with curvature zero, Comment Math. Helv., 32 ( 1958), 215-223. | MR | Zbl
-[M2] On fondamental groups of complete affinely flat manifolds. Adv. in Math., 25 ( 1977). 178-187. | MR | Zbl
-[NY] The affine structures on the real two-torus (I), Osaka J. Math., 11 ( 1974). 181-210. | MR | Zbl
, -[P] Sur le théorème de Gauss-Bonnet pour les pseudo-métiques singulières, Séminaire Théorie Spectrale et Géométrie, Grenoble, pp. 99-105, 1986-87 | Numdam | MR | Zbl
-[Sm1] Affinely flat manifolds, Doctoral Dissertation, University of Chicago, 1977.
-[Sm2] An obstruction to the existence of affine structures, Invent. Math., 64 ( 1981), 411-415. | MR | Zbl
-[Sm3] Flat manifolds with non-zero Euler characteristics, Comment. Math. Helvetici, 52 ( 1977). 453-455. | MR | Zbl
-[ST] Manifolds with canonical coordinaîes : some examples, L'Enseignement Math., 29 ( 1983), 15-25. | MR | Zbl
, -[Sul] A generalization of Milnor's inequality concerning affine foliations and affine manifolds,Comm. Math. Helv., 51 ( 1976), 183-189. | MR | Zbl
-[Suw] Compact quotient spaces of C2 by affine transformation groups, J. Diff. Geom., 10 ( 1975), 239-252. | MR | Zbl
-[T] The geometry and topology of 3-manifolds, chapter 3, Princeton University, 1978.
-[Wan] The classification of flat compact space-forms with metric of signature (2,2), à paraître, 1988. | Zbl
-[Wol] Spaces of constant curvature, Publish or Perish, Wilmington, 1984. | MR | Zbl
-[Woo] Bundles with totally disconnecîed structure group, Comment. Math. Helv.( 46 ( 1971), 257-273. | MR | Zbl
-