Holomorphicity of minimal submanifolds in complex space forms

DOI10.1007/BF01458320zbMath0631.53046MaRDI QIDQ1094689

Marcos Dajczer, Gudlaugur Thorbergsson

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164254

zbMATH Keywords

minimal immersionscomplex space formsholomorphicityKählerian manifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Complex spaces (32C15)

Related Items (6)

Isotropic ppmc immersions ⋮ \((1,1)\)-geodesic maps into Grassmann manifolds ⋮ On the type decomposition of the second fundamental form of a Kähler submanifold ⋮ Immersions minimales et immersions pluriharmoniques entre variétés riemanniennes: résultats de non existence et de rigidité. (Minimal and pluriharmonic immersions between Riemannian manifolds: non-existence and rigidity results) ⋮ Homogeneous totally real submanifolds of complex projective space ⋮ Isometric immersions of Kähler manifolds

Cites Work

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• Minimal immersions of Kähler manifolds into complex space forms
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• Symmetric submanifolds of Euclidean space
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• Minimum imbeddings of compact symmetric spaces of rank one
• Minimal Surfaces by Moving Frames
• A Characterization of Complex Hypersurfaces in C m
• Parallel submanifolds of complex space forms I

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