| Title:
|
On complete lifts of reductive homogeneous spaces and generalized symmetric spaces (English) |
| Author:
|
Sekizawa, Masami |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
1986 |
| Pages:
|
516-534 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C30 |
| idZBL:
|
Zbl 0615.53042 |
| idMR:
|
MR863184 |
| DOI:
|
10.21136/CMJ.1986.102113 |
| . |
| Date available:
|
2008-06-09T15:12:22Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102113 |
| . |
| Reference:
|
[1] N. Bourbaki: Éléments de Mathématique, Groupes et al gébres de Lie.Chapitre III, Groupes de Lie, Herman, Paris, 1971, 1972. MR 0453824 |
| Reference:
|
[2] J. Černý, O. Kowalski: Classification of generalized symmetric pseudo-Riemannian spaces of dimension $n \leq 4$.Tensor, N.S. 38 (1982), 255-267. MR 0832656 |
| Reference:
|
[3] S. Kobayashi: Theory of connections.Annali di Mat. 43 (1957), 119-194. MR 0096276, 10.1007/BF02411907 |
| Reference:
|
[4] S. Kobayashi, K. Nomizu: Foundations of differential geometry.Interscience Publ., New York, London, I (1963); II (1969). Zbl 0119.37502 |
| Reference:
|
[5] O. Kowalski: Generalized symmetric spaces.Lecture Note in Mathematics 805, Springer-Verlag, Berlin, Heidelberg, New York, 1980. Zbl 0431.53042, MR 0579184 |
| Reference:
|
[6] A. J. Ledger, M. Obata: Affine and Riemannian $s$-manifolds.J. Differential Geometry 2 (1968), 451-459. Zbl 0177.24602, MR 0244893, 10.4310/jdg/1214428660 |
| Reference:
|
[7] K. Nomizu: Invariant affine connections on homogeneous spaces.Amer. J. Math. 76 (1954), 33-65. Zbl 0059.15805, MR 0059050, 10.2307/2372398 |
| Reference:
|
[8] E. M. Patterson, A. G. Walker: Riemann extensions.Quart. J. Math. Oxford 3 (1952), 19-28. Zbl 0048.15603, MR 0048131, 10.1093/qmath/3.1.19 |
| Reference:
|
[9] M. Sekizawa: Lifts of generalized symmetric spaces to tangent bundles.to appear. Zbl 0639.53057, MR 0905973 |
| Reference:
|
[10] N. A. Stepanov: The tangent bundle of $\phi$-spaces.Soviet Math. (Iz. VUZ) 27 (1983), 94-103. MR 0694017 |
| Reference:
|
[11] M. Toomanian: Riemann extensions and complete lifts of $s$-spaces.Ph. D. Thesis, The University, Southampton, 1975. |
| Reference:
|
[12] M. Toomanian: Killing vectorfields and infinitesimal affine transformations on a generalized Riemann extension.Tensor, N.S. 32 (1978), 335 - 338. Zbl 0384.53020, MR 0516373 |
| Reference:
|
[13] K. Yano, S. Ishihara: Tangent and cotangent bundles.Marcel Dekker, Inc., New York, 1973. Zbl 0262.53024, MR 0350650 |
| Reference:
|
[14] K. Yano, S. Kobayashi: Prolongations of tensor fields and connections to tangent bundles.J. Math. Soc. Japan, I 18 (1966), 194-210; II 18 (1966), 236-246. Zbl 0147.21501, 10.2969/jmsj/01820194 |
| Reference:
|
[15] M. Toomanian: Regular $s$-structure on TM.Tensor, N. S. 42 (1985), 225-228. Zbl 0589.53054, MR 0847040 |
| . |
