@article{AFST_1989_5_10_3_337_0,
author = {Wolak, Robert},
title = {Foliated and associated geometric structures on foliated manifolds},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 5, 10},
number = {3},
year = {1989},
pages = {337-360},
zbl = {0698.57007},
mrnumber = {1425491},
language = {en},
url = {http://www.numdam.org/item/AFST_1989_5_10_3_337_0}
}
Wolak, Robert A. Foliated and associated geometric structures on foliated manifolds. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 5, Volume 10 (1989) no. 3, pp. 337-360. http://www.numdam.org/item/AFST_1989_5_10_3_337_0/
[1] ), ).- Pseudogroupes de Lie transitifs, Travaux en Cours, Hermann, Paris, 1984. | MR 770061 | Zbl 0563.53027
[2] ).-Vector fields of finite type G-structures, J. Diff. Geom. 14, 1979, p. 1-6. | MR 577874 | Zbl 0414.53030
[3] ).- Foliated manifolds with flat basic connections, J. Diff. Geom. 16, 1981, p. 401-406. | MR 654633 | Zbl 0466.57009
[4] ).- Basic connections with vanishing curvature and parallel torsion, Bull. Sci. math. 106, 1982, p. 393-400. | MR 688198 | Zbl 0508.57019
[5] ).-Riemannian foliations with parallel curvature, Nagoya Math. J. 90, 1983, p. 145-153. | MR 702257 | Zbl 0508.57020
[6] ).- Foliations with locally reductive normal bundle, Illinois J. Math. 28, 1984, p. 691-702. | MR 761999 | Zbl 0534.57018
[7] ). - Stability theorems for conformal foliations, Proc. A.M.S. 91, 1984, p. 55-63. | MR 744654 | Zbl 0514.57008
[8] ).- Cartan connections in foliated bundles, Michigan Math. J. 31, 1984, p. 55-63. | MR 736468 | Zbl 0579.53028
[9] ). - Submersions affines et feuilletages de variétés munies d'une connexion linéaire, C. R. Acad. Sc. Paris 299, 1984, p. 1013-1015. | MR 776854 | Zbl 0573.57012
[10] ). - Affine submersions, Ann. Glob. An. Geom. 3, 1985, p. 275-287. | MR 813133 | Zbl 0557.53014
[11] ). - Cartan submersions and Cartan foliations, Illinois J. Math. 31,2, 1987, p. 327-343. | MR 882118 | Zbl 0608.53027
[12] ), ).- Feuilletages totalement géodésiques, An. Acad. Brasil Ciênc. 53, 1981, p. 427-432. | MR 663239 | Zbl 0486.57013
[13] ).- Foliations with all leaves compact, Ann. Inst. Fourier 26,1, 1976, p. 265-273. | Numdam | MR 420652 | Zbl 0313.57017
[14] ), ), ).-Invariant measures for affine foliations, Proc. AMS 86, 1982, p. 511-518. | MR 671227 | Zbl 0534.57014
[15] ).- Structures feuilletées et cohomologie à valeurs dans un faisceau de groupoïdes, Comm. Math. Helv. 32, 1958, p. 248-329. | MR 100269 | Zbl 0085.17303
[16] ).- Pseudogroups of local isometries, Differential Geometry, L.A.Cordero ed., Proceedings Vth International Colloquium on Differential Geometry, Santiago de Compostela 1984, Pitman 1985. | MR 864868 | Zbl 0656.58042
[17] ).- Leaves closures in Riemannian foliations, A fête of topology, Academic Press, Boston, MA, 1988, p. 3-32. | MR 928394 | Zbl 0667.57012
[18] ), ). - Characteristic Classes and Foliated Bundles, Springer Lecture Notes in Math. 493, 1975. | MR 402773 | Zbl 0308.57011
[19] ), ). - G-foliations and their characteristic classes, Bull. A.M.S. 84,6, 1978, p. 1086-1124. | MR 508449 | Zbl 0405.57017
[20] ).-Transformation Groups in Differential Geometry, Springer, Berlin, 1972. | MR 355886 | Zbl 0246.53031
[21] ), ).- Foundations of Differential Geometry, Interscience Publ., New York 1963, 1969. | MR 152974 | Zbl 0119.37502
[22] ), ).- Compact Riemannian manifolds with essential groups of conformorphisms, Trans. A.M.S 150, 1970, p. 645-651. | MR 262971 | Zbl 0208.49902
[23] ). - Pfaffian systems and transverse differential geometry, Differential Geometry and Relativity, D.Reidel, 1976, p. 107-126. | MR 448386 | Zbl 0369.58003
[24] ). - Connexions et G-structures sur les variétés feuilletées, Bull. Sc. math. 92, 1968, p. 59-63. | MR 234490 | Zbl 0162.53702
[25] ).- Propriétés cohomologiques et propriétés topologiques des feuilletages à connection transverse projetable, Topology 12, 1973, p. 317-325. | MR 353332 | Zbl 0269.57014
[26] ).- Sur la géométrie transverse de feuilletages, Ann. Inst. Fourier 25, 1975, p. 279-284. | Numdam | MR 391123 | Zbl 0301.57016
[27] ). - Le problème d'équivalence pour les pseudogroupes de Lie, méthodes intrinsèques, Bull. Soc. Math. France 108, 1980, p. 95-111. | Numdam | MR 603342 | Zbl 0446.58022
[28] ).-Invariants structuraux des feuilletages, Bull. Sc. math. 105, 1981, p. 337-347. | MR 640146 | Zbl 0475.57009
[29] ).- Riemannian Foliations, Progress in Math., Birkhäuser, 1988. | MR 932463 | Zbl 0633.53001
[30] ).- On local and global existence of Killing vector fields, Ann. of Math. 72, 1960, p. 105-120. | MR 119172 | Zbl 0093.35103
[31] ).-Geometry associated with semisimple flat homogeneous spaces, Trans. A.M.S. 152, 1970, p. 159-193. | MR 284936 | Zbl 0205.26004
[32] ), ). - Natural bundles have finite order, Topology 16, 1977, p. 271-277. | MR 467787 | Zbl 0359.58004
[33] ).- Foliations with integrable transverse G-structures, J. Diff. Geom. 16, 1981, p. 699-710. | MR 661660 | Zbl 0495.53027
[34] ). - The first and second fundamental theorems of Lie for Lie pseudogroups, Amer. J. Math. 84, 1962, p. 265-282. | MR 147587 | Zbl 0192.12703
[35] ).-An Introduction to Differential Geometry, Chelsea Publ.C. (second edition), New York 1983.
[36] ). - On foliations with the structure group of automorphisms of a geometric structure, J. Math. Soc. Japan 32, 1980, p. 119-152. | MR 554520 | Zbl 0413.57021
[37] ).- Topology of 3-Manifolds, Princeton.
[38] ). - Spaces of Constant Curvature, Publish or Perish Inc., 1974. | MR 343214 | Zbl 0281.53034
[39] ).-On ∇ - G-foliations, Suppl. Rend. Cir. Mat. Palermo 6, 1984, p. 317-325. | MR 782729 | Zbl 0567.57022
[40] ). - On G-foliations, Ann. Pol. Math. 46, 1985, p. 329-341. | MR 841842
[41] ).-On transverse structures of foliations, Suppl. Rend. Cir. Mat. Palermo 9, 1985, p. 227-243. | MR 853144 | Zbl 0595.57023
[42] ).-Foliations admitting transverse systems of differential equations, Comp. Math. 67, 1988, p. 89-101. | Numdam | MR 949272 | Zbl 0649.57027
[43] ). - Transverse completeness of foliated systems of ordinary differential equations, Proc. VIth Inter. Coll. on Differential Geometry, Santiago de Compostela 1988, ed. L. A. Cordero, Santiago de Compostela 1989. | MR 1040852 | Zbl 0693.58015
[44] ). - G-foliations of finite type with all leaves compact, to be publ. in Publ. Mat. UAB, 1988.
