CR映射局部刚度和高阶无穷小变形的充要条件

Pub Date : 2019-06-06 DOI:10.4310/ARKIV.2020.v58.n2.a1

G. Sala, B. Lamel, M. Reiter

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引用次数: 3

摘要

本文继续研究复空间CR子流形映射的局部刚度。我们给出了极小CR流形之间有限非退化映射局部刚度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度。

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

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.

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