Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space
Czechoslovak Mathematical Journal, Tome 44 (1994) no. 4, pp. 741-756
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1994.128493
Classification : 53C15, 53C25, 53C40, 53C50
@article{10_21136_CMJ_1994_128493,
     author = {Gadea, P. M. and Amilibia, A. Montesinos},
     title = {Totally umbilical {pseudo-Riemannian} submanifolds of the paracomplex projective space},
     journal = {Czechoslovak Mathematical Journal},
     pages = {741--756},
     year = {1994},
     volume = {44},
     number = {4},
     doi = {10.21136/CMJ.1994.128493},
     mrnumber = {1295147},
     zbl = {0824.53056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128493/}
}
TY  - JOUR
AU  - Gadea, P. M.
AU  - Amilibia, A. Montesinos
TI  - Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space
JO  - Czechoslovak Mathematical Journal
PY  - 1994
SP  - 741
EP  - 756
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128493/
DO  - 10.21136/CMJ.1994.128493
LA  - en
ID  - 10_21136_CMJ_1994_128493
ER  - 
%0 Journal Article
%A Gadea, P. M.
%A Amilibia, A. Montesinos
%T Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space
%J Czechoslovak Mathematical Journal
%D 1994
%P 741-756
%V 44
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128493/
%R 10.21136/CMJ.1994.128493
%G en
%F 10_21136_CMJ_1994_128493
Gadea, P. M.; Amilibia, A. Montesinos. Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space. Czechoslovak Mathematical Journal, Tome 44 (1994) no. 4, pp. 741-756. doi: 10.21136/CMJ.1994.128493

[1] C. Allamigeon: Espaces homogènes symétriques à groupe semi-simple. C.R. Acad. Sci. Paris 243 (1956), 121–123. | MR

[2] C. Bejan: Structuri hiperbolici pe diverse spatii fibrate. Ph. D. thesis Math, Iasi, 1990.

[3] B. Y. Chen: Totally umbilical submanifolds. Soochow J. Math. 5 (1979), 9–37. | MR

[4] P. M. Gadea and A. Montesinos Amilibia: Spaces of constant para-holomorphic sectional curvature. Pacific Journal of Mathematics 136(1) (1989), 85–101. | DOI | MR

[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

[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

[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

[8] P. M. Gadea and J. Muñoz Masqué: Classification of homogeneous para-Kaehlerian space forms. Nova J. Alg. Geom (to appear). | MR

[9] P. M. Gadea and J. Muñoz Masqué: Classification of nonflat para-Kaehlerian space forms. Preprint.

[10] S. Kaneyuki and M. Kozai: Paracomplex structures and affine symmetric spaces. Tokyo J. Math. 8(1) (1985), 81–98. | DOI | MR

[11] S. Kobayashi and K. Nomizu: Foundations of differential geometry. Interscience Publishers, New York, 1969.

[12] P. Libermann: Sur le problème d’équivalence de certaines structures infinitésimales. Ann. Mat. Pura Appl. 36(1) (1954), 27–120. | DOI | MR | Zbl

[13] B. O’Neill: Semi-Riemannian geometry. Academic Press, New York, 1983. | MR

[14] P. K. Rasevskii: The scalar field in a stratified space. Trudy Sem. Vekt. Tenz. Anal. 6 (1948), 225–248. | MR

[15] M. Spivak: Differential geometry. Publish or Perish, Inc., Boston, 1975. | Zbl

Cité par Sources :