Untermannigfaltigkeiten mit paralleler zweiter Fundamentalform in Euklidischen Räumen und Sphären

DOI10.1007/BF01677009zbMath0262.53038MaRDI QIDQ2561027

Rainer Walden

Publication date: 1973

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154178

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Related Items (17)

Symmetric orbits of orthogonal Veronese actions and their second order envelopes ⋮ Canonical immersions of R-spaces ⋮ Differential geometry of submanifolds ⋮ Generic submanifolds ⋮ Symmetric submanifolds of Euclidean space ⋮ Deformation of a submanifold in an Euclidean space with fixed Gauss image ⋮ On symmetric submanifolds of spaces of constant curvature ⋮ Semisymmetric submanifolds ⋮ Ric-semisymmetric submanifolds ⋮ Unnamed Item ⋮ Produkt-Zerlegung von Immersionen mit paralleler zweiter Fundamentalform ⋮ Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht- Beispiele ⋮ Submanifolds with commuting normal vector field ⋮ Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung ⋮ Über die Riemannsche Einbettungsgeometrie der Veronesemannigfaltigkeiten ⋮ Eine lokale Charakterisierung der Veronesemannigfaltigkeiten ⋮ Submanifolds with constant mean curvature

Cites Work

• Minimal varieties in Riemannian manifolds
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Isometric immersions of Riemannian products
• Reduction of the codimension of an isometric immersion
• Submanifolds of constant mean curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Unnamed Item

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