Cohomogeneity one manifolds and hypersurfaces of the Euclidean space

DOI10.1007/BF01120332zbMath0827.53007OpenAlexW2011146098MaRDI QIDQ1894608

Andrea F. Spiro, Fabio Podestà

Publication date: 8 August 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01120332

zbMATH Keywords

isometric immersiongroups of isometriescohomogeneity one manifoldsrevolution hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Compact Lie groups of differentiable transformations (57S15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (9)

Immersions of cohomogeneity one Riemannian manifolds ⋮ Cohomogeneity one Riemannian manifolds and Killing fields ⋮ Cohomogeneity one actions on the three-dimensional Einstein universe ⋮ Isometric actions on the four dimensional Minkowski spacetime ⋮ Hypersurfaces of cohomogeneity one and hypersurfaces of revolution. ⋮ Polar actions on compact Euclidean hypersurfaces ⋮ On groups acting by cohomogeneity one on the Euclidean space \(\mathbb{R}^n\) ⋮ Level sets of scalar Weyl invariants and cohomogeneity ⋮ Conformal flatness, cohomogeneity one and hypersurfaces of revolution

Cites Work

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• On a compact Lie group acting on a manifold
• Homogeneous hypersurfaces in euclidean spaces
• Isometric immersion of flat Riemannian manifolds in Euclidean space
• Compact hypersurfaces with constant scalar curvature and a congruence theorem
• Homogeneous hypersurfaces in spaces of constant curvature
• Minimal submanifolds of low cohomogeneity
• Compact Homogeneous Hypersurfaces
• A General Theory of Canonical Forms

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