Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung

DOI10.1007/BF01360880zbMath0319.53042MaRDI QIDQ1222889

Helmut Reckziegel

Publication date: 1976

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162882

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (19)

Completeness of curvature surfaces of submanifolds in complex space forms ⋮ Einstein submanifolds with flat normal bundle in space forms are holonomic ⋮ Warped product structure of submanifolds with nonpositive extrinsic curvature in space forms ⋮ Parallel Codazzi tensors with submanifold applications ⋮ On the topology of closed manifolds with quasi-constant sectional curvature ⋮ Normally flat Ric-semisymmetric submanifolds in Euclidean spaces ⋮ Isoparametric hypersurfaces with \((g,m)=(6,2)\) ⋮ Conformally flat submanifolds ⋮ Normal connection and submanifolds with parallel normal fields in a space of constant curvature ⋮ Einstein submanifolds with parallel mean curvature ⋮ Conformally flat submanifolds with flat normal bundle ⋮ Submanifolds with commuting normal vector field ⋮ On a class of submanifolds carrying an extrinsic totally umbilical foliation. ⋮ Classification of conformally flat isoparametric submanifolds of Euclidean space ⋮ Decomposition of twisted and warped product nets ⋮ De Rham decomposition of netted manifolds ⋮ Isothermic submanifolds of Euclidean space ⋮ Codazzi tensors with two eigenvalue functions ⋮ Embedding problems: Geometric and topological aspects

Cites Work

• Umbilics of constant curvature immersions
• On principal normal vector fields of submanifolds in a Riemannian manifold of constant curvature
• Reduction of the codimension of an isometric immersion
• Submanifolds of constant mean curvature
• Untermannigfaltigkeiten mit paralleler zweiter Fundamentalform in Euklidischen Räumen und Sphären
• Some results in E. Cartan's theory of isoparametric families of hypersurfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung