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A Vanishing Theorem on Generalized Cartan-Hartogs Domain of the Second Type
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.jmaa.2020.124264
An Wang , Chengchen Zhong , Bo Lin

Abstract In this paper, we consider the vanishing theorem of square integrable harmonic forms with respect to the Bergman metric on the second type of generalized Cartan-Hartogs domain by using three main tools: the properties of Bergman kernel function, holomorphic invariant and holomorphic automorphism group.

中文翻译:

第二类广义Cartan-Hartogs域的消失定理

摘要 在本文中,我们通过使用三个主要工具:伯格曼核函数的性质、全纯不变量和全纯自同构群,在第二类广义 Cartan-Hartogs 域上考虑关于伯格曼度量的平方可积调和形式的消失定理。 .
更新日期:2020-11-01
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