Sur les structures différentiables et les variations de structures complexes
Séminaire Ehresmann. Topologie et géométrie différentielle, Tome 4 (1962-1963), Exposé no. 2, 45 p. 
@article{SE_1962-1963__4__A2_0,
     author = {Srinivasacharyulu, Kilambi},
     title = {Sur les structures diff\'erentiables et les variations de structures complexes},
     journal = {S\'eminaire Ehresmann. Topologie et g\'eom\'etrie diff\'erentielle},
     note = {talk:2},
     pages = {1--45},
     publisher = {Secr\'etariat math\'ematique},
     volume = {4},
     year = {1962-1963},
     language = {fr},
     url = {http://archive.numdam.org/item/SE_1962-1963__4__A2_0/}
}
TY  - JOUR
AU  - Srinivasacharyulu, Kilambi
TI  - Sur les structures différentiables et les variations de structures complexes
JO  - Séminaire Ehresmann. Topologie et géométrie différentielle
N1  - talk:2
PY  - 1962-1963
SP  - 1
EP  - 45
VL  - 4
PB  - Secrétariat mathématique
UR  - http://archive.numdam.org/item/SE_1962-1963__4__A2_0/
LA  - fr
ID  - SE_1962-1963__4__A2_0
ER  - 
%0 Journal Article
%A Srinivasacharyulu, Kilambi
%T Sur les structures différentiables et les variations de structures complexes
%J Séminaire Ehresmann. Topologie et géométrie différentielle
%Z talk:2
%D 1962-1963
%P 1-45
%V 4
%I Secrétariat mathématique
%U http://archive.numdam.org/item/SE_1962-1963__4__A2_0/
%G fr
%F SE_1962-1963__4__A2_0
Srinivasacharyulu, Kilambi. Sur les structures différentiables et les variations de structures complexes. Séminaire Ehresmann. Topologie et géométrie différentielle, Tome 4 (1962-1963), Exposé no. 2, 45 p. http://archive.numdam.org/item/SE_1962-1963__4__A2_0/

[ 1] Adachi, M. On certain triangulated manifolds, Proc. Jap. Academy XXXVI (1960) pp. 461-465. | MR | Zbl

[2] Adem, J. The iteration of the Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. U.S.A., 38 (1953), pp. 7. | MR | Zbl

[2a] Adams, J.F. Non-existence of elements of Hopf invariant 1, Bull. Amer. Math. Soc. 64 (1958), pp. 279-282. | MR | Zbl

[3] Andreotti, A. Complex structures of manifolds, Symposium in honor of S. Lefschetz, Princeton (1957) pp. 53-71. | MR

[4] Borel, A. et Hirzebrich, F. Homogeneous spaces and characteristic classes I, II, III, Amer. Journ. Math. So. (1958), pp. 453-538, 81 (1959). | Zbl

[4a] Borel, A. Impossibilité de fibrer une sphère par un produit de sphères, C.R. Acad. Sci. Paris 230 (1950), pp. 943-945. | MR | Zbl

[5] Bott, R. a) Homogeneous vector bundles, Ann. of Math. 66 (1957) pp. 203-248. b) avec Milnor, J. On the parallelisability of the spheres, Bull. Amer. Math. Soc., 64 (1958), p. 87. | MR | Zbl

[6] Cairns, S.S. a) Triangulated manifolds and differentiable manifolds, Lectures in topology, Michigan (1941) pp. 143-157. b) Manifold smoothing problem, Bull. Amer. Math. Soc. 67 (1961), p. 237. | MR | Zbl

[7] Calabi, E. et Vesentini, E. On compact locally symmetric kähler manifolds, Ann. of Math. 71 (1960) pp. 472-507. | MR | Zbl

[8] Cartan, E. a) Sur une classe remarquable d'espace de Riemann, Bull. Soc. Math. France 54 (1926) pp. 214-264 et 55 (1927) pp. 114-134. b) La théorie des groupes finis et continus et l'analysis situs, Gauthier Villars (1930) Mem. Sc. Math. Fasc. 42, Paris. c) Sur les domaines bornés homogènes de l'espace de n variables complexes, Abh. Math. Sem. Univ. Hamburg. 11 (1936) pp. 116-162.

[9] Ehresmann, C. a) Sur la topologie de certains espaces homogènes, Thèse, Ann. of Math. 35(1934) pp. 396-443. b) Sur les espaces fibrés, Coll. de Topologie Alg., CNRS, Paris (1941), pp. 3-15. c) Les connexions infinitésimales dans un espace fibré différentiable, Coll. de topologie, 1950 (Bruxelles) pp. 29-55. d) Sur la théorie des variétés feuilletées, Rendiconti di Matematica, série V, Vol, X, Roma 1951. | JFM | MR

[10] J. Feldbau (sous le nom de J. Laboureur). Les structures fibrées sur la sphère et le problème du parallélisme, Bull. Soc. Math. France , 70 (1941), pp. 181- 186 | JFM

[11] Frolicher, A. et Nij Enhuis , A. A theorem on stability of comples structures , Proc. Nat. Acad. Sc. U.S.A. 43 ( 1957 ) pp. 239 - 241. | MR | Zbl

[12] Hano, J. . On kählerien homogeneous spaces of unimodular Lie groups, Amer. Journ. Math. 76 ( 1957 ) pp. 885 - 900 . | MR | Zbl

[12a] Haefliger, A. Plongements différentiables de variétés dans variétés ,Comm. Math Helv. 36 ( 1961), pp. 47- 82. | MR | Zbl

[13] Hirzebruch, F. . Neue topologische Methoden in der algebraischen Geometrie, Springer 1956. | MR | Zbl

[14] Kervaire, M., a) A manifold which does not admit any differentiable structure,Comm. Math. Helv. 34 ( 1960 ) pp. 257- 270. b) et Milnor, J.W. Groups of Homotopy Spheres I, mimeographed, New York UNIVERSITY , Dec. 1961. c ) On relative characteristic classes, Amer. Jour. Math. 79 ( 1957), pp. 517 - 558. d) et Milnor, J. Bernoulli numbers , homotopy groups.... Proc. Int. Cong. of Math. Edimburgh ( 1958). | MR | Zbl

[15] Kodaira, K. . a) On kähler varieties of restricted type Ann. Math. 60 ( 1954) pp. 28- 48. b ) On compact analytic surfaces , Analytic Functions , Princeton 1960, pp. 121- 135 . c) On compact complex analytic surfaces I, Ann. of Math. 71 (1960) pp. 111-152. | MR | Zbl

[16] Kodaira , K. et Hirzebruch , F. . On the complex projective spaces , Jour. de Math. 36 ( 1957 ), pp. 201 - 216. | MR | Zbl

[17] Kodaira et Sp Encer , D.C. a) On deformations of complex analytic structures I-II, Ann. of Math. 67 ( 1958 ) pp. 329 - 466. b ) On deformations of complex analytic structures III, Ann. of Math. 71 ( 1960) pp. 43 - 76. | MR | Zbl

[18] Koszul , J. L. Sur la forme hermétienne canonique des espaces homogènes complexes, Can. Jour. Math. , 7 (1955), pp. 562- 576 . | MR | Zbl

[ 19] Kuiper, N. H. et Eells, J. (Jr). Manifolds which are like projective planes, mimeographed (à paraitre).

[ 20] Milnor , J. a) Differentiable manifolds which are homotopy spheres, mimeographed Princeton Univ. 1959. b) Differentiable structures on spheres, Amer. Journ. Math., 81 (1959) pp. 962- 972. c) On manifolds homeomorphic to the 7-sphere, Ann. of Math. 64 (1956), pp. 399- 405. d) A procedure for killing the homotopy groups of differentiable manifolds, Symposia in Pure Math. A.M.S. (1961), pp. 39-55. e) Sommes de variétés différentiables et..., Bull. Soc. Math. France 87 (1959), pp. 439-444.

[ 21] Smale, S. a) Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math. 74 (1961), pp. 391-406. b) Differentiable and combinatorial structures on manifolds, Ann. of Math. 74 (1961) pp. 498-502. c) On the structure of manifolds (mimeographed) à paraître. | MR | Zbl

[ 22] Srinivasacharyulu, K. a) Exposés de séminaire dirigé par C.Ehresmann, 1959-60. b) i) C.R.A.S. t 250 (1960) pp. 2316-2317. ii) C.R.A.S. t 254 (1962) pp. 58-60. c) C.R.A.S. t 252 (1961) pp. 3377-3378.

[ 23] Stallings,J. Polyhedral homotopy spheres, Bull. Amer. Math. Soc. 66 (1960) pp. 485-488. | MR | Zbl

[ 24] Steenrod, N. Topology of fiber bundles, Princeton 1951. | Zbl

[ 25 ] Tamura, I. a) Homeomorphy classification of total spaces of sphere bundles over spheres, Journ. Math. Soc. Japan, 10 (1959) pp. 29-43. b) Remarks on differentiable structures on spheres, Journ. Math. Soc. Japan, 13 (1961) pp. 383- 386. c) 8-Manifolds admitting no differentiable structure, Journ. Math. Soc. Japan, 13 (1961) pp. 377-382. | MR

[ 26] Thom, R. a) Quelques propriétés globales des variétés différentiables, Comm. Math. 28 (1954) pp. 17-85. b) Les classes caractéristiques de Pontrjagin des variétés triangulées,Symposium Inter. de Top. Alg. Mexico (1958) pp. | MR | Zbl

[ 27] Wang, H.C. Closed manifolds with homogeneous complex structure, Amer. Journ. Math. 76 (1954) pp. 1-32. | MR | Zbl

[ 28] Whitehead, J.H.C. a) On C1-complexes, Ann. of Math. 41 (1940) pp. 809-824. b) et Spanier. E.H. On the fibre space in which the fibre is contractible, Commentari Math. Helv. 29 (1955), pp. 1-8. | MR | Zbl

[ 29] Zeeman, C. The generalized Poincaré conjecture, Bull. Amer. Math. Soc. 67 (1961) p. 270. | MR | Zbl

[ 30] Rohlin, V.A. et Švar, A.S. The combinatorial invariance of Pontrjagin classes, Dokl. Akal. Nauk SSSR (N.S) 114 (1957), pp. 490-493. | MR | Zbl