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October 2020 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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Ark. Mat. 58(2): 213-242 (October 2020). DOI: 10.4310/ARKIV.2020.v58.n2.a1

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. "Sufficient and necessary conditions for local rigidity of CR mappings and higher order infinitesimal deformations." Ark. Mat. 58 (2) 213 - 242, October 2020. https://doi.org/10.4310/ARKIV.2020.v58.n2.a1

Information

Received: 30 April 2019; Revised: 6 March 2020; Published: October 2020
First available in Project Euclid: 16 January 2021

Digital Object Identifier: 10.4310/ARKIV.2020.v58.n2.a1

Rights: Copyright © 2020 Institut Mittag-Leffler

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Vol.58 • No. 2 • October 2020
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