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arXiv 1906.02584math.CV
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CR映射局部刚性的充必要条件及高阶无穷小变形

Sufficient and necessary conditions for local rigidity of CR mappings and higher order infinitesimal deformations

Giuseppe della Sala, Bernhard Lamel, Michael Reiter

摘要:

本文继续研究复空间CR子流形映射的局部刚性。本文给出了极小CR流形之间的非退化映射局部刚性的一个线性充分条件。此外,我们还证明了高阶无穷小条件可以用来刻画局部刚性。

英文摘要:

In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nondegenerate maps between minimal CR manifolds. Furthermore, we show higher order infinitesimal conditions can be used to give a characterization of local rigidity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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