Infinitesimally homogeneous submanifolds of Euclidean spaces

DOI10.1007/BF02108304zbMath0828.53048MaRDI QIDQ1892344

Sergio Console

Publication date: 12 June 1995

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

zbMATH Keywords

second fundamental formisoparametric submanifoldsextrinsic Singer invariantinfinitesimally homogeneous submanifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Homogeneous structures on Kähler submanifolds of complex projective spaces ⋮ Extrinsic homogeneity of parallel submanifolds

Cites Work

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• Isoparametric foliations and their buildings
• On two theorems of I. M. Singer about homogeneous spaces
• Symmetric submanifolds of Riemannian manifolds
• Symmetric submanifolds of Euclidean space
• Counter-example to the second Singer's theorem
• Isoparametric submanifolds and their homogeneous structures
• Curvature-orbits and locally homogeneous Riemannian manifolds
• Tight equivariant imbeddings of symmetric spaces
• Minimal immersions of spheres into spheres
• On the problem whether the image of a given differentiable map into Riemannian manifold is contained in a submanifold with parallel second fundamental form.
• Infinitesimally homogeneous spaces
• Submanifolds with flat normal bundle

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