Complex structures on tangent bundles of Riemannian manifolds
type: Item
instance of: scholarly article
title: Complex structures on tangent bundles of Riemannian manifolds
zbMATH Open document ID: 0749.53021
DOI: 10.1007/BF01445217
published in: Mathematische Annalen
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/164876
review text: A ``complex structure'' on the tangent bundle of a (real) compact or complete Riemannian manifold is defined to be an integrable, almost complex tensor \(J\), \(J: T(TM)\to T(TM)\). The author proves several theorems about local and global existence of such a tensor. Local existence always holds; the obtstructions to global existence are identified.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53B20
zbMATH DE Number: 59963
zbMATH Keywords: integrable almost complex tensor
Wikidata QID: Q115393528
author: Róbert Szőke
reviewed by: Steven G. Krantz
MaRDI profile type: Publication
cites work: On the Geometry of the Tangent Bundle.
cites work: Grauert tubes and the homogeneous Monge-Ampère equation. II
cites work: Riemannian geometry
cites work: Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds
cites work: On pseudo-conformal transformations of hypersurfaces
cites work: Q3469367
cites work: Some examples of higher rank manifolds of nonnegative curvature
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description: scientific article; zbMATH DE number 59963