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Extrinsic homogeneity of parallel submanifolds. II

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Publication:531738
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DOI10.1016/j.difgeo.2010.12.008zbMath1216.53048OpenAlexW2591955432WikidataQ115357001 ScholiaQ115357001MaRDI QIDQ531738

Tillmann Jentsch

Publication date: 19 April 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.12.008


zbMATH Keywords

symmetric spacehomogeneous submanifoldholonomy Lie algebraparallel submanifold


Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Issues of holonomy in differential geometry (53C29)


Related Items (1)

Parallel submanifolds of the real 2-Grassmannian



Cites Work

  • The extrinsic holonomy Lie algebra of a parallel submanifold
  • Symmetric submanifolds of compact symmetric spaces
  • Symmetric submanifolds of Riemannian manifolds
  • Symmetric submanifolds of Euclidean space
  • Submanifolds with parallel second fundamental form studied via the Gauss map
  • A quick proof of the classification of simple real Lie algebras
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