Two Characteristic Properties of the Sphere

DOI10.2307/2039251zbMath0283.53002OpenAlexW4230112696MaRDI QIDQ4769598

Dimitri Koutroufiotis

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039251

Mathematics Subject Classification ID

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

Related Items (16)

Ruled \(W\)-surfaces ⋮ Global Characterizations of the Sphere ⋮ On convex hypersurfaces in Euclidean space ⋮ Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere ⋮ Polynomial translation surfaces of Weingarten types in Euclidean 3-space ⋮ A Characteristic Property of the Sphere ⋮ Einige Bemerkungen über die Deformationsalgebra zweier linearer Zusammenhänge ⋮ Weingarten and linear Weingarten type tubular surfaces in \(\mathbb{E}^3\) ⋮ Zur inneren Krümmung der zweiten Grundform ⋮ Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form. ⋮ Geometry of algebraic surfaces with symmetries ⋮ A Liebmann type theorem for linear Weingarten surfaces ⋮ Classification of ruled surfaces in Minkowski 3-spaces ⋮ A new proof of Liebmann classical rigidity theorem for surfaces in space forms ⋮ Revisiting Liebmann’s theorem in higher codimension ⋮ Characterizations of the Sphere by the Curvature of the Second Fundamental Form

Cites Work

• Closed Convex Hypersurfaces with Second Fundamental Form of Constant Curvature

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