\((1,1)\)-geodesic maps into Grassmann manifolds

DOI10.1007/BF02572619zbMath0863.53046OpenAlexW2009671605MaRDI QIDQ1909552

Jost-Hinrich Eschenburg, Renato Tribuzy

Publication date: 28 May 1997

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

Full work available at URL: https://eudml.org/doc/174814

zbMATH Keywords

totally geodesicGrassmann manifoldspluriharmonic immersions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of local Riemannian geometry (53B21)

Related Items (2)

Pluriharmonic maps of maximal rank ⋮ Kähler submanifolds with parallel pluri-mean curvature.

Cites Work

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• Harmonic maps from surfaces to complex projective spaces
• Real Kaehler submanifolds and uniqueness of the Gauss map
• Tournaments, flags, and harmonic maps
• Rigidity of real Kaehler submanifolds
• Holomorphicity of minimal submanifolds in complex space forms
• Harmonic sequences and harmonic maps of surfaces into complex Grassmannian manifolds
• Symmetric submanifolds of Euclidean space
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• Isometric immersions of Kähler manifolds
• Applications of harmonic maps to Kähler geometry
• The explicit construction and parametrization of all harmonic maps from the two-sphere to a complex Grassmannian.
• Holomorphicity of Certain Stable Harmonic Maps and Minimal Immersions
• The Gauss Map for Kahlerian Submanifolds of R n

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