| Title:
|
Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space (English) |
| Author:
|
Gadea, P. M. |
| Author:
|
Amilibia, A. Montesinos |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
741-756 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C15 |
| MSC:
|
53C25 |
| MSC:
|
53C40 |
| MSC:
|
53C50 |
| idZBL:
|
Zbl 0824.53056 |
| idMR:
|
MR1295147 |
| DOI:
|
10.21136/CMJ.1994.128493 |
| . |
| Date available:
|
2009-09-24T09:43:37Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128493 |
| . |
| Reference:
|
[1] C. Allamigeon: Espaces homogènes symétriques à groupe semi-simple.C.R. Acad. Sci. Paris 243 (1956), 121–123. MR 0082090 |
| Reference:
|
[2] C. Bejan: Structuri hiperbolici pe diverse spatii fibrate.Ph. D. thesis Math, Iasi, 1990. |
| Reference:
|
[3] B. Y. Chen: Totally umbilical submanifolds.Soochow J. Math. 5 (1979), 9–37. MR 0572727 |
| Reference:
|
[4] P. M. Gadea and A. Montesinos Amilibia: Spaces of constant para-holomorphic sectional curvature.Pacific Journal of Mathematics 136(1) (1989), 85–101. MR 0971936, 10.2140/pjm.1989.136.85 |
| Reference:
|
[5] P. M. Gadea and A. Montesinos Amilibia: Some geometric properties of para-Kaehlerian space forms.Rend. Sem. Mat. Univ. Cagliari 59 (1989), 131–145. MR 1098884 |
| Reference:
|
[6] P. M. Gadea and A. Montesinos Amilibia: The paracomplex projective spaces as symmetric and natural spaces.Indian J. Pure Appl. Math (to appear). MR 1163037 |
| Reference:
|
[7] P. M. Gadea and A. Montesinos Amilibia: The paracomplex projective model. The para-Grassmannian manifolds. “Jubilee volume Prof. J. J. Etayo Miqueo”.Madrid, 1992, to appear. MR 1303803 |
| Reference:
|
[8] P. M. Gadea and J. Muñoz Masqué: Classification of homogeneous para-Kaehlerian space forms.Nova J. Alg. Geom (to appear). MR 1218348 |
| Reference:
|
[9] P. M. Gadea and J. Muñoz Masqué: Classification of nonflat para-Kaehlerian space forms.Preprint. |
| Reference:
|
[10] S. Kaneyuki and M. Kozai: Paracomplex structures and affine symmetric spaces.Tokyo J. Math. 8(1) (1985), 81–98. MR 0800077, 10.3836/tjm/1270151571 |
| Reference:
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[11] S. Kobayashi and K. Nomizu: Foundations of differential geometry.Interscience Publishers, New York, 1969. |
| Reference:
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[12] P. Libermann: Sur le problème d’équivalence de certaines structures infinitésimales.Ann. Mat. Pura Appl. 36(1) (1954), 27–120. Zbl 0056.15401, MR 0066020, 10.1007/BF02412833 |
| Reference:
|
[13] B. O’Neill: Semi-Riemannian geometry.Academic Press, New York, 1983. MR 0719023 |
| Reference:
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[14] P. K. Rasevskii: The scalar field in a stratified space.Trudy Sem. Vekt. Tenz. Anal. 6 (1948), 225–248. MR 0056351 |
| Reference:
|
[15] M. Spivak: Differential geometry.Publish or Perish, Inc., Boston, 1975. Zbl 0306.53004 |
| . |
