The Weierstrass representation for complete minimal real Kaehler submanifolds of codimension two

DOI10.1007/BF01245181zbMath0827.53047MaRDI QIDQ1895664

Detlef Gromoll, Marcos Dajczer

Publication date: 13 December 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144255

zbMATH Keywords

Weierstrass representationminimal immersionKaehler submanifold

Mathematics Subject Classification ID

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

Related Items (16)

An extension theorem for real Kähler submanifolds in codimension 4 ⋮ Real Kaehler submanifolds in low codimension ⋮ Conformal Kaehler Euclidean submanifolds ⋮ Holomorphicity of real Kaehler submanifolds ⋮ A class of superconformal surfaces ⋮ Real Kaehler submanifolds in codimension up to four ⋮ Kaehler submanifolds of hyperbolic space ⋮ Complete real Kähler submanifolds in codimension two ⋮ On minimal lightlike surfaces in Minkowski space-time ⋮ On real Kähler Euclidean submanifolds with non-negative Ricci curvature ⋮ Isometric deformations of isotropic surfaces ⋮ A representation for pseudoholomorphic surfaces in spheres ⋮ Real Kähler submanifolds in codimension 6 ⋮ The associated family of an elliptic surface and an application to minimal submanifolds ⋮ On nonpositively curved compact Riemannian manifolds with degenerate Ricci tensor ⋮ The dual superconformal surface

Cites Work

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• Calibrated geometries
• Real Kaehler submanifolds and uniqueness of the Gauss map
• Rigidity of real Kaehler submanifolds
• Rigidity of complete Euclidean hypersurfaces
• Some remarks on the geometry of austere manifolds
• The Gauss Map for Kahlerian Submanifolds of R n

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