Super-rigidity for Holomorphic Mappings between Hyperquadrics with Positive Signature

Type: Article

Publication Date: 2005-02-01

Citations: 79

DOI: https://doi.org/10.4310/jdg/1121449110

Abstract

We study local holomorphic mappings sending a piece of a real hyperquadric in a complex space into a hyperquadric in another complex space of possibly larger dimension. We show that these mappings possess strong super-rigidity properties when the hyperquadrics have positive signatures. These results are applied in the context of holomorphic mappings between classical domains in complex projective spaces of different dimensions.

Locations

  • Journal of Differential Geometry - View - PDF

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