Isometric embedding of Kähler manifolds with nonpositive sectional curvature

DOI10.1007/BF01446318zbMath0874.53040OpenAlexW1972527846WikidataQ126192519 ScholiaQ126192519MaRDI QIDQ1914728

Fang Yang Zheng

Publication date: 9 July 1996

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

Full work available at URL: https://eudml.org/doc/165428

zbMATH Keywords

totally geodesicnonpositive curvatureholomorphic foliationcomplex space formruled submanifoldcomplex submanifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)

Related Items (6)

An extension theorem for real Kähler submanifolds in codimension 4 ⋮ Warped product structure of submanifolds with nonpositive extrinsic curvature in space forms ⋮ On real Kähler Euclidean submanifolds with non-negative Ricci curvature ⋮ On the isometric minimal immersion into a Euclidean space ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

Cites Work

• Unnamed Item
• An application of second variation to submanifold theory
• On submanifolds with nonpositive extrinsic curvature
• Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
• First Pontrjagin form, rigidity and strong rigidity of nonpositively curved Kähler surface of general type
• Isometric imbedding of complex manifolds
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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