Arkiv för Matematik

Volume 58 (2020)

Number 2

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

Pages: 213 – 242



Giuseppe della Sala (Department of Mathematics, American University of Beirut, Lebanon)

Bernhard Lamel (Fakultät für Mathematik, Universität Wien, Austria)

Michael Reiter (Fakultät für Mathematik, Universität Wien, Austria)


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.

Received 30 April 2019

Received revised 6 March 2020

Accepted 20 March 2020

Published 3 November 2020