Kähler submanifolds with parallel pluri-mean curvature.

DOI10.1016/S0926-2245(03)00055-XzbMath1046.53041arXivmath/0111217WikidataQ115337990 ScholiaQ115337990MaRDI QIDQ1422027

Renato Tribuzy, Francis E. Burstall, Jost-Hinrich Eschenburg, Maria João Ferreira

Publication date: 3 February 2004

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

Full work available at URL: https://arxiv.org/abs/math/0111217

zbMATH Keywords

flag manifoldGauss mapisotropypluriharmonicityassociated family

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)

Related Items (8)

Pluriharmonic maps into Kähler symmetric spaces and Sym's formula ⋮ Isotropic ppmc immersions ⋮ A Nearly Kähler Submanifold with Vertically Pluri-Harmonic Lift ⋮ Kaehler submanifolds of hyperbolic space ⋮ Harmonic maps into the orthogonal group and null curves ⋮ Twistor fibrations over Hermitian symmetric spaces and harmonic maps ⋮ Codimension of immersions with parallel pluri-mean curvature ⋮ Codimension two Kähler submanifolds of space forms

Cites Work

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• Symmetric submanifolds of Euclidean space
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• The Weierstrass representation for pluriminimal submanifolds
• \((1,1)\)-geodesic maps into Grassmann manifolds
• Extrinsic symmetric spaces and orbits of \(s\)-representations
• Pluriharmonic Maps into Compact Lie Groups and Factorization into Unitons
• The Gauss Map for Kahlerian Submanifolds of R n
• Submanifolds with Constant Mean Curvature
• The Tension Field of the Gauss Map

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