On convex hypersurfaces in a space form

DOI10.1007/BF01295286zbMath0672.53052OpenAlexW2058841845MaRDI QIDQ1120131

Themis Koufogiorgios, Christos Baikoussis

Publication date: 1988

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178404

zbMATH Keywords

second fundamental formspace formisometric immersiontotally umbilicalWeingarten map

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (1)

Some characterizations of totally umbilical surfaces in three-dimensional warped product spaces

Cites Work

• A formula of Simons' type and hypersurfaces with constant mean curvature
• On convex hypersurfaces in $E^{n+1}$

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