Generalized symmetric submanifolds of Euclidean spaces

DOI10.1007/BF01457278zbMath0614.53040OpenAlexW2005705110MaRDI QIDQ1819750

I. Kulich, Oldřich Kowalski

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164235

zbMATH Keywords

symmetric submanifoldk-symmetric spacesk-symmetric submanifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (7)

Symmetry and minimality properties for generalized ruled submanifolds ⋮ \(^{1}\)-symmetric submanifolds ⋮ Some characterizations of 2-symmetric submanifolds in spaces of constant curvature ⋮ Homogeneous structures on Kähler submanifolds of complex projective spaces ⋮ Generalized 2-symmetric submanifolds ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

Cites Work

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• Symmetric submanifolds of Riemannian manifolds
• Symmetric submanifolds of Euclidean space
• Existence of generalized symmetric Riemannian spaces of arbitrary order
• Riemannian manifolds with geodesic symmetries of order 3
• Minimum imbeddings of compact symmetric spaces of rank one
• Regular Riemannian s-Manifolds of Noncompact Type
• Shorter Notes: A Symmetric Space of Noncompact Type Has no Equivariant Isometric Immersions into the Euclidean Space
• Generalized symmetric spaces

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