Ruled \(W\)-surfaces

DOI10.1007/BF01196440zbMath0794.53008OpenAlexW196797454MaRDI QIDQ1327134

Wolfgang Kuehnel

Publication date: 15 June 1994

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

Full work available at URL: https://doi.org/10.1007/bf01196440

zbMATH Keywords

second fundamental formruled surfaces\(W\)-surfacesinner curvature

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential line geometry (53A25)

Related Items (11)

New types of canal surfaces in Minkowski 3-space ⋮ On rotational surfaces in 3-dimensional de Sitter space with Weingarten condition ⋮ Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere ⋮ On the curves of constant Gauss curvature and skew surfaces ⋮ Polynomial translation surfaces of Weingarten types in Euclidean 3-space ⋮ Weingarten and linear Weingarten type tubular surfaces in \(\mathbb{E}^3\) ⋮ Translation L/W-surfaces in Euclidean 3-space \(E^{3}\) ⋮ Ruled Weingarten hypersurfaces in hyperbolic space \(\mathbb H^{n+1}\) ⋮ Ruled Weingarten surfaces in the Galilean space ⋮ The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame ⋮ Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces

Cites Work

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• Relativgeometrische Kennzeichnungen euklidischer Hypersphären. (Characterizations of Euclidean hyperspheres in relative geometry)
• Zur inneren Krümmung der zweiten Grundform
• Ruled surfaces with vanishing second Gaussian curvature
• Characterizations of the Sphere by the Curvature of the Second Fundamental Form
• Global Characterizations of the Sphere
• Two Characteristic Properties of the Sphere
• Closed Convex Hypersurfaces with Second Fundamental Form of Constant Curvature

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