On the analytic distributions and foliations of a kahler manifold

Izu Vaisman

doi:10.1090/S0002-9939-1976-0428233-5

On the analytic distributions and foliations of a kahler manifold

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

Abstract

A Frobenius-type condition involving d2 is proved for the analyticity of a distribution on a complex analytic manifold. As a consequence, an invariant condition for the analyticity of a distribution on a Kahler manifold is derived and used to establish the local reducibility of some foliate Kahler manifolds with bundle-like metric.

Original language	English
Pages (from-to)	221-228
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	58
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1976-0428233-5
State	Published - Jul 1976
Externally published	Yes

Keywords

Analytic distribution
Kahler-Reinhart space

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1976-0428233-5

Cite this

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abstract = "A Frobenius-type condition involving d2 is proved for the analyticity of a distribution on a complex analytic manifold. As a consequence, an invariant condition for the analyticity of a distribution on a Kahler manifold is derived and used to establish the local reducibility of some foliate Kahler manifolds with bundle-like metric.",

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AB - A Frobenius-type condition involving d2 is proved for the analyticity of a distribution on a complex analytic manifold. As a consequence, an invariant condition for the analyticity of a distribution on a Kahler manifold is derived and used to establish the local reducibility of some foliate Kahler manifolds with bundle-like metric.

KW - Analytic distribution

KW - Kahler-Reinhart space

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DO - 10.1090/S0002-9939-1976-0428233-5

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AN - SCOPUS:84968497054

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On the analytic distributions and foliations of a kahler manifold

Abstract

Keywords

ASJC Scopus subject areas

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