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


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.


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M.S. Baouendi. Xiaojun Huang. "Super-rigidity for Holomorphic Mappings between Hyperquadrics with Positive Signature." J. Differential Geom. 69 (2) 379 - 398, Feb 2005.


Published: Feb 2005
First available in Project Euclid: 15 July 2005

zbMATH: 1088.32003
MathSciNet: MR2169869
Digital Object Identifier: 10.4310/jdg/1121449110

Rights: Copyright © 2005 Lehigh University

Vol.69 • No. 2 • Feb 2005
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