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Rigidity of proper holomorphic mappings between equidimensional bounded symmetric domains |
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| Authors: | Zhen-Han Tu |
| Affiliation: | Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong |
| Abstract: | We prove that any proper holomorphic mapping between two equidimensional irreducible bounded symmetric domains with rank  is a biholomorphism. The proof of the main result in this paper will be achieved by a differential-geometric study of a special class of complex geodesic curves on the bounded symmetric domains with respect to their Bergman metrics. |
| Keywords: | Bounded symmetric domains Hermitian symmetric manifolds proper holomorphic mappings rigidity totally geodesic submanifolds |
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