Extrinsic symmetric spaces and orbits of \(s\)-representations

DOI10.1007/BF02567838zbMath0857.53033MaRDI QIDQ1911191

Jost-Hinrich Eschenburg, Ernst Heintze

Publication date: 9 March 1997

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

Full work available at URL: https://eudml.org/doc/156143

zbMATH Keywords

polar representation\(R\)-spaceorbits of \(s\)-representationsextrinsic symmetric submanifolds of spheres

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (13)

On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time ⋮ Parallel Kähler submanifolds and 𝑅-spaces ⋮ The extrinsic holonomy Lie algebra of a parallel submanifold ⋮ Convexity of reflective submanifolds in symmetric \(R\)-spaces ⋮ Kähler submanifolds with parallel pluri-mean curvature. ⋮ Finite order automorphisms and real forms of affine Kac-Moody algebras in the smooth and algebraic category ⋮ Indefinite extrinsic symmetric spaces ⋮ A pinching theorem for extrinsically symmetric submanifolds of Euclidean space ⋮ Indefinite extrinsic symmetric spaces I ⋮ A unifying approach for rolling symmetric spaces ⋮ Centrioles in symmetric spaces ⋮ Extrinsic symmetric subspaces ⋮ Maximal tori of extrinsic symmetric spaces and meridians

Cites Work

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• On the transitivity of holonomy systems
• Symmetric submanifolds of Riemannian manifolds
• Symmetric submanifolds of Euclidean space
• Reduction of the codimension of an isometric immersion
• The Normal Holonomy Group
• Polar Coordinates Induced by Actions of Compact Lie Groups

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