Characterization of totally \(\eta\)-umbilic real hypersurfaces in nonflat complex space forms by some inequality

DOI10.3792/PJAA.80.61zbMath1074.53011OpenAlexW1981704501MaRDI QIDQ1764328

Sadahiro Maeda, Takehiro Itoh

Publication date: 24 February 2005

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116442245

zbMATH Keywords

complex projective spacecomplex hyperbolic spacereal hypersurfaces\(\eta\)-umbilic real hypersurfaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (1)

Horizontal curvatures and classification results

Cites Work

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• Characterizations of geodesic hyperspheres in a projective space by observing the extrinsic shape of geodesics
• Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms

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