| Invariant holomorphic extension in several complex variables Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| 作者姓名： | ZHOU Xiangyu Institute of Mathematics AMSS Beijing Chinese Academy of Sciences. |
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| 作者单位： | ZHOU Xiangyu Institute of Mathematics，AMSS，Beijing，Chinese Academy of Sciences. |
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| 摘 要： | Two fundamental problems on the invariant holomorphic extensions have been posed, which are naturally arose from our solution of the extended future tube conjecture and closely and deeply related to the general theory of Stein manifolds due to Cartan-Serre. In this paper, the relationship is presented between the two problems, the motivation of considering the problems, and the methods to approach the problems. We have also posed some questions and conjectures related to this two problems.
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Invariant holomorphic extension in several complex variables Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| ZHOU Xiangyu Institute of Mathematics,AMSS,Beijing,Chinese Academy of Sciences..Invariant holomorphic extension in several complex variables Dedicated to Professor Sheng GONG on the occasion of his 75th birthday[J].Science in China(Mathematics),2006(11). |
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| Authors: | ZHOU Xiangyu Institute of Mathematics AMSS Beijing Chinese Academy of Sciences |
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| Abstract: | Two fundamental problems on the invariant holomorphic extensions have been posed, which are naturally arose from our solution of the extended future tube conjecture and closely and deeply related to the general theory of Stein manifolds due to Cartan-Serre. In this paper, the relationship is presented between the two problems, the motivation of considering the problems, and the methods to approach the problems. We have also posed some questions and conjectures related to this two problems. |
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| Keywords: | Stein manifold group action plurisubharmonic function minimum principle categorical quotient |
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