Completeness of curvature surfaces of an isometric immersion

DOI10.4310/jdg/1214434848zbMath0411.53042OpenAlexW1491912991WikidataQ115189318 ScholiaQ115189318MaRDI QIDQ1259301

Helmut Reckziegel

Publication date: 1979

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214434848

zbMATH Keywords

principal curvatureisometric immersiontotally umbilicalcurvature surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (20)

Completeness of curvature surfaces of submanifolds in complex space forms ⋮ Global properties of the Gauss image of flat surfaces in \(R^ 4\) ⋮ On Hypersurfaces of Hyperbolic Space Infinitesimally Supported by Horospheres ⋮ Über sphärische Blätterungen und die Vollständigkeit ihrer Blätter ⋮ On the topology of closed manifolds with quasi-constant sectional curvature ⋮ Complete hypersurfaces in a space form with three principal curvatures ⋮ Conformally flat submanifolds ⋮ Blaschke hypersurfaces with symmetric shape operator ⋮ Submanifolds with commuting normal vector field ⋮ An extrinsic decomposition theorem and a slant tube theorem for a curvature netted hypersurface ⋮ On the eigenvalues of the shape operator of an isometric immersion into a space of constant curvature ⋮ Flat Surfaces with Mean Curvature Vector of Constant Length in Euclidean Spaces ⋮ Explicit representation of compact conformally flat hypersurfaces ⋮ A class of Einstein submanifolds of Euclidean space ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Embedding problems: Geometric and topological aspects ⋮ A criterion for a submanifold to be quasiumbilical ⋮ Applied geodesic foliations ⋮ The Gauss image of flat surfaces in \(R^ 4\)

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