Holomorphic Isometry from a Kähler Manifold into a Product of Complex Projective Manifolds

Xiaojun Huang; Yuan Yuan

doi:10.1007/s00039-014-0278-3

Holomorphic Isometry from a Kähler Manifold into a Product of Complex Projective Manifolds

Xiaojun Huang, Yuan Yuan

School of Arts and Sciences, Mathematics

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

27 Scopus citations

Abstract

We study the global property of local holomorphic isometric mappings from a class of Kähler manifolds into a product of projective algebraic manifolds with induced Fubini-Study metrics, where isometric factors are allowed to be negative.

Original language	English (US)
Pages (from-to)	854-886
Number of pages	33
Journal	Geometric and Functional Analysis
Volume	24
Issue number	3
DOIs	https://doi.org/10.1007/s00039-014-0278-3
State	Published - Jun 2014

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.1007/s00039-014-0278-3

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title = "Holomorphic Isometry from a K{\"a}hler Manifold into a Product of Complex Projective Manifolds",

abstract = "We study the global property of local holomorphic isometric mappings from a class of K{\"a}hler manifolds into a product of projective algebraic manifolds with induced Fubini-Study metrics, where isometric factors are allowed to be negative.",

author = "Xiaojun Huang and Yuan Yuan",

note = "Funding Information: Research of the first author was supported in part by National Science Foundation Grant DMS-1101481, DMS-1363418; research of the second author was supported in part by National Science Foundation grant DMS-1412384.",

year = "2014",

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AU - Huang, Xiaojun

AU - Yuan, Yuan

N1 - Funding Information: Research of the first author was supported in part by National Science Foundation Grant DMS-1101481, DMS-1363418; research of the second author was supported in part by National Science Foundation grant DMS-1412384.

PY - 2014/6

Y1 - 2014/6

N2 - We study the global property of local holomorphic isometric mappings from a class of Kähler manifolds into a product of projective algebraic manifolds with induced Fubini-Study metrics, where isometric factors are allowed to be negative.

AB - We study the global property of local holomorphic isometric mappings from a class of Kähler manifolds into a product of projective algebraic manifolds with induced Fubini-Study metrics, where isometric factors are allowed to be negative.

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JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

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Holomorphic Isometry from a Kähler Manifold into a Product of Complex Projective Manifolds

Abstract

All Science Journal Classification (ASJC) codes

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