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.
Citation
M.S. Baouendi. Xiaojun Huang. "Super-rigidity for Holomorphic Mappings between Hyperquadrics with Positive Signature." J. Differential Geom. 69 (2) 379 - 398, Feb 2005. https://doi.org/10.4310/jdg/1121449110
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