Some examples of indefinite complete complex Einstein hypersurfaces not locally symmetric
Author:
Alfonso Romero
Journal:
Proc. Amer. Math. Soc. 98 (1986), 283-286
MSC:
Primary 53C50; Secondary 53C40
DOI:
https://doi.org/10.1090/S0002-9939-1986-0854034-6
MathSciNet review:
854034
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Abstract | References | Similar Articles | Additional Information
Abstract: Some examples of indefinite complete complex Einstein hypersurfaces of an indefinite complex flat space which are not locally symmetric are given.
- [1] M. Barros and A. Romero, Indefinite Kählerian manifolds, Math. Ann. 261 (1982), 55-62. MR 675207 (84d:53033)
- [2] M. Cahen and M. Parker, Sur des classes d'espaces pseudo-riemanniens symmétriques, Bull. Soc. Math. Belg. Sér. A 12 (1970), 339-354. MR 0286031 (44:3247)
- [3] S. Montiel and A. Romero, Complex Einstein hypersurfaces of indefinite complex space forms, Math. Proc. Cambridge Philos. 94 (1983), 495-508. MR 720800 (85f:53049)
- [4] K. Nomizu, On hypersurfaces satisfying a certain condition on the curvature tensor, Tôhoku Math. J. 20 (1968), 46-59. MR 0226549 (37:2138)
- [5] B. Smyth, Differential geometry of complex hypersurfaces, Ann. of Math. (2) 85 (1967), 246-266. MR 0206881 (34:6697)
- [6] -, Homogeneous complex hypersurfaces, J. Math. Soc. Japan 20 (1968), 643-647. MR 0232326 (38:651)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1986-0854034-6
Keywords:
Indefinite complex Einstein hypersurface,
locally symmetric,
indefinite complex space form
Article copyright:
© Copyright 1986
American Mathematical Society
