紧正则3-伪凹CR子流形的Versal嵌入
Versal embeddings of compact, regular 3-pseudoconcave CR submanifolds
摘要:
证明了复流形${\bold G}$的紧致的、一般的、正则的3-伪凹CR子流形${\bold M}\subset{\bold G}$上的诱导CR结构,满足条件$\dim H^1({\bold M}, T^{\prime}({\bold G})|_{\bold M})=0$时,所有的闭CR结构都是由闭嵌入诱导的.
英文摘要:
We prove that for an induced CR structure on a compact, generic, regular 3-pseudoconcave CR submanifold ${\bold M}\subset{\bold G}$, of a complex manifold ${\bold G}$, satisfying condition $\dim H^1({\bold M}, T^{\prime}({\bold G})|_{\bold M})=0$ all the close CR structures are induced by close embeddings.
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