Parallel Kähler submanifolds of Hermitian symmetric spaces

DOI10.1007/BF01159170zbMath0568.53031MaRDI QIDQ1060434

Kazumi Tsukada

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173616

zbMATH Keywords

totally geodesicHermitian symmetric spacescomplex projective spaceKähler submanifoldsparallel second fundamental form

Mathematics Subject Classification ID

Global submanifolds (53C40) Local differential geometry of Hermitian and Kählerian structures (53B35) Local submanifolds (53B25)

Related Items (8)

A characterization of certain Einstein Kähler hypersurfaces in a complex Grassmann manifold of 2-planes ⋮ Locally symmetric immersions ⋮ The extrinsic holonomy Lie algebra of a parallel submanifold ⋮ Curvature pinching for complete Kähler submanifolds of a complex projective space ⋮ Extrinsic homogeneity of parallel submanifolds ⋮ Semisymmetric submanifolds ⋮ Ric-semisymmetric submanifolds ⋮ Parallel Kähler submanifolds of quaternionic Kähler symmetric spaces

Cites Work

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• On compact, locally symmetric Kähler manifolds
• On the curvature tensor of the hermitian symmetric manifolds
• On the transitivity of holonomy systems
• Isotropic submanifolds with parallel second fundamental forms in symmetric spaces
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Totally real parallel submanifolds in \(P^ n(\)c)
• On locally symmetric Kaehler submanifolds in a complex projective space
• On Some Complex Submanifolds in Kaehler Manifolds
• Parallel submanifolds of complex space forms I

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