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arXiv · 1906.02584

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

Giuseppe della Sala·Bernhard Lamel·Michael Reiter
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Abstract

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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Giuseppe della Sala, Bernhard Lamel, Michael Reiter. 2019-06-06. Sufficient and necessary conditions for local rigidity of CR mappings and higher order infinitesimal deformations. https://doi.org/10.4310/arkiv.2020.v58.n2.a1

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