CR manifolds with noncompact connected automorphism groups
CR manifolds with noncompact connected automorphism groups
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具有非紧连通自同构群的 CR 流形
DOI：
10.1007/bf02921567
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
John M. Lee
中科院分区：
文献类型：
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作者：
John M. Lee
本文的主要结果是：一个紧致的、连通的、严格伪凸的CR流形的自同构群的单位分支是紧致的，除非该流形CR等价于标准球面。D.烧伤，这一结果如下从已知的结果biholomorphism群的复杂流形的边界和事实，任何这样的CR manifoldM可以实现作为边界的分析品种。当M是3维时，伯恩斯的证明失败了，因为抽象的CR 3-流形一般不能实现为边界。本文提供了一个内在的紧性证明，适用于任何尺寸。
The main result of this paper is that the identity component of the automorphism group of a compact, connected, strictly pseudoconvex CR manifold is compact unless the manifold is CR equivalent to the standard sphere. In dimensions greater than 3, it has been pointed out by D. Burns that this result follows from known results on biholomorphism groups of complex manifolds with boundary and the fact that any such CR manifoldM can be realized as the boundary of an analytic variety. WhenM is 3-dimensional, Burns’s proof breaks down because abstract CR 3-manifolds are generically not realizable as boundaries. This paper provides an intrinsic proof of compactness that works in any dimension.
CR 流形和变换群 CR 流形和变换群
DOI：
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发表时间：
2003
期刊：
Selected Topics in CR Geometry, Quaderni di Matematica.(Ed. by S.Dragomir) 1239
影响因子：
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作者：
A.Moriwaki;神島芳宣
通讯作者：
神島芳宣