Effective actions of the general indefinite unitary groups on holomorphically separable manifolds

2015/06/12 by Yoshikazu Nagata, Nagata, Yoshikazu
Mathematics · #Advanced Algebra and Geometry #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV

paper · pdf · doi:10.48550/arxiv.1506.03940

41 pages. arXiv admin note: text overlap with arXiv:1412.3217

arxiv created 2015/12/23 · arxiv updated 2015/12/24

Abstract

We determine all holomorphically separable complex manifolds of dimension p+q which admits a smooth envelope of holomorphy such that the general indefinite unitary group of size p+q acts effectively by holomorphic transformations. Also we give exact description of the automorphism groups of those complex manifolds. As an application we consider a characterization of those complex manifolds by their automorphism groups.

Citations

• On a characterization of unbounded homogeneous domains with boundaries of light cone type

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