Characterizations of the Sphere by the Curvature of the Second Fundamental Form

DOI10.2307/2041730zbMath0324.53043OpenAlexW4236095530MaRDI QIDQ4087940

Udo Simon

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041730

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items

Ruled \(W\)-surfaces ⋮ Global Characterizations of the Sphere ⋮ On convex hypersurfaces in Euclidean space ⋮ Spacelike surfaces with positive definite second fundamental form in 3D spacetimes ⋮ A Characteristic Property of the Sphere ⋮ Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form. ⋮ A Liebmann type theorem for linear Weingarten surfaces ⋮ A new proof of Liebmann classical rigidity theorem for surfaces in space forms ⋮ Revisiting Liebmann’s theorem in higher codimension

Cites Work

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• Two Characteristic Properties of the Sphere
• Closed Convex Hypersurfaces with Second Fundamental Form of Constant Curvature