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

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 nonde-generate maps between minimal CR manifolds. Furthermore, we show higher order infinitesimal conditions can be used to give a characterization of local rigidity. © 2020 by Institut Mittag-Leffler. All rights reserved.