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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, New Brunswick, NJ, 08903, USA

    Xiaojun Huang

  2. Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA

    Yuan Yuan

Authors
  1. Xiaojun Huang
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  2. Yuan Yuan
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Corresponding author

Correspondence to Yuan Yuan.

Additional information

Dedicated to the Memory of Salah Baouendi

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.

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Huang, X., Yuan, Y. Holomorphic Isometry from a Kähler Manifold into a Product of Complex Projective Manifolds. Geom. Funct. Anal. 24, 854–886 (2014). https://doi.org/10.1007/s00039-014-0278-3

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  • DOI: https://doi.org/10.1007/s00039-014-0278-3

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