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Zbl 0554.53021
Montiel, Sebastián
Real hypersurfaces of a complex hyperbolic space. (English)
[J] J. Math. Soc. Japan 37, 515-535 (1985). ISSN 0025-5645; ISSN 1881-1167; ISSN 1881-2333/e

In this paper, using focal point theory, the author classifies real hypersurfaces of a complex hyperbolic space with a few principal curvatures, giving some examples of such type of hypersurfaces. Also, he proves that there exists no Einstein real hypersurfaces in the complex hyperbolic space and he classifies those that satisfy a weaker condition on its Ricci tensor.
MSC 2000:
*53B25 Local submanifolds
53B35 Complex differential geometry (local)

Keywords: focal point; real hypersurfaces; complex hyperbolic space; principal curvatures

Cited in: Zbl 1177.53045 Zbl 0981.53041 Zbl 0906.53015

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