On convex hypersurfaces in Euclidean space

DOI10.1007/BF01210720zbMath0633.53085MaRDI QIDQ1096196

Themis Koufogiorgios, Christos Baikoussis

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

second fundamental formcharacterization of sphereshyperovaloid

Mathematics Subject Classification ID

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

Cites Work

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• Smoothness theorems for the principal curvatures and principal vectors of a hypersurface
• Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie
• Characterizations of the Sphere by the Curvature of the Second Fundamental Form
• Two Characteristic Properties of the Sphere
• Closed Convex Hypersurfaces with Second Fundamental Form of Constant Curvature

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