| Title:
|
Variétés riemanniennes feuilletées (French) |
| Title:
|
Foliated Riemannian manifolds (English) |
| Author:
|
Vaisman, Izu |
| Language:
|
French |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
21 |
| Issue:
|
1 |
| Year:
|
1971 |
| Pages:
|
46-75 |
| Summary lang:
|
French |
| . |
| Category:
|
math |
| . |
| MSC:
|
53.00 |
| MSC:
|
57.36 |
| idZBL:
|
Zbl 0212.54202 |
| idMR:
|
MR0287572 |
| DOI:
|
10.21136/CMJ.1971.101003 |
| . |
| Date available:
|
2008-06-09T13:49:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101003 |
| . |
| Reference:
|
[1] Cartan E.: Leçons sur la géométrie des espaces de Riemann.Gauthier-Villars, Paris, 1946. Zbl 0060.38101, MR 0020842 |
| Reference:
|
[2] Chern S. S.: Complex manifolds without potential theory.D. Van Nostrand Comp. Princeton, 1967. Zbl 0158.33002, MR 0225346 |
| Reference:
|
[3] Goldberg S. I.: Curvature and Homology.Academic Press, New York, 1962. Zbl 0105.15601, MR 0139098 |
| Reference:
|
[4] Kodaira K., Spencer D. C.: Multifoliate structures.Ann. of Math. 74, 1961, p. 52-100. Zbl 0123.16401, MR 0148086, 10.2307/1970306 |
| Reference:
|
[5] Lichnerowicz A.: Théorie globale des connexions et des groupes d'holonomie.Ed. Cremonese, Roma, 1955. Zbl 0116.39101 |
| Reference:
|
[6] Miron R., Papuc D. L.: Sur la théorie locale des distributions définies sur un espace à connexion affine.Rev. Roumaine de Math. pures et appl., XII, 1967, p. 537-543. Zbl 0152.39003, MR 0215240 |
| Reference:
|
[7] Reinhart В. L.: Harmonie integrals on almost product manifolds.Trans. A.M.S. 88 (1958), p. 243-276. MR 0104937, 10.1090/S0002-9947-1958-0104937-2 |
| Reference:
|
[8] Reinhart В. L.: Foliated manifolds with bundle-like metrics.Ann. of Math., 69, 1959, p. 119--132. Zbl 0122.16604, MR 0107279, 10.2307/1970097 |
| Reference:
|
[9] Reinhart В. L.: Harmonic integrals on foliated manifolds.Amer. M. J., 81, 1959, p. 529-536, Zbl 0088.07902, MR 0107280, 10.2307/2372756 |
| Reference:
|
[10] Sasaki S.: On the differential geometry of tangent bundles of Riemannian manifolds.Tôhoku M. J., 10, 1958, p. 338--354. Zbl 0086.15003, MR 0112152, 10.2748/tmj/1178244668 |
| Reference:
|
[11] Spencer D. C: De Rham theorems and Neumann decompositions associated with partial differential equations."Structures feuilletées", Coll. C.N.R.S., Grenoble, 1963, p. 1-20. |
| Reference:
|
[12] Vaisman I.: Sur quelques formules du calcul de Ricci global.Comm. Math. Helv., 41, 1966-67, p. 73-87. Zbl 0147.41101, MR 0206872 |
| Reference:
|
[13] Vaisman I.: Sur la cohomologie des variétés riemanniennes feuilletées.C.R. Acad. Sc. Paris, t. 268, Série A, p. 720-723. MR 0248686 |
| . |
