Non-immersibility of a space form as a totally umbilical hypersurface

DOI10.1017/S0308210500026652zbMath0646.53018MaRDI QIDQ3790227

Hiroshi Takahashi, Masafumi Okumura

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

constant mean curvatureconstant sectional curvatureKaehler manifoldtotally umbilical hypersurfacevanishing Bochner curvature tensor

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Cites Work

• The axiom of spheres in Riemannian geometry
• On Fubinian and $C$-Fubinian manifolds
• Unnamed Item

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