On holomorphic mappings of complex manifolds with ball model

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概要

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• We consider holomorphic mappings of complex manifolds with ball model into complex manifolds which are quotients of bounded domains and estimate the dimension of the moduli space of holomorphic mappings in terms of the essential boundary dimension of target manifolds. For this purpose, we generalize a classical uniqueness theorem of Fatou-Riesz for bounded holomorphic functions on the unit disk to one for bounded holomorphic mappings on a bounded C<SUP>2</SUP> domain. This generalization enables us to establish rigidity and finiteness theorems for holomorphic mappings. We also discuss the rigidity for holomorphic mappings into quotients of some symmetric bounded domains. In the final section, we construct examples related to our results.

• 社団法人 日本数学会の論文
• 2004-10-01

著者

• Shiga Hiroshige

  Department Of Mathematics Tokyo Institute Of Technology

関連論文

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• Grunsky's inequality and its applications to Teichmuller spaces.
• On holomorphic mappings of complex manifolds with ball model

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