A geometric condition for an l.c.K. manifold to be Kähler

Izu Vaisman

doi:10.1007/BF01447416

A geometric condition for an l.c.K. manifold to be Kähler

Izu Vaisman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that a necessary and sufficient condition for a locally conformal Kähler manifold (Mⁿ, g), n ≥ 2, to be Kähler is that M admits through every one of its points a minimal Kahler submanifold of complex dimension p≥2.

Original language	English
Pages (from-to)	129-134
Number of pages	6
Journal	Geometriae Dedicata
Volume	10
Issue number	1-4
DOIs	https://doi.org/10.1007/BF01447416
State	Published - Jan 1981

ASJC Scopus subject areas

Geometry and Topology

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10.1007/BF01447416

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title = "A geometric condition for an l.c.K. manifold to be K{\"a}hler",

abstract = "We prove that a necessary and sufficient condition for a locally conformal K{\"a}hler manifold (Mn, g), n ≥ 2, to be K{\"a}hler is that M admits through every one of its points a minimal Kahler submanifold of complex dimension p≥2.",

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A geometric condition for an l.c.K. manifold to be Kähler

Abstract

ASJC Scopus subject areas

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