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On stability of CR-mappings between nilpotent lie groups of step two

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Abstract

A quasi-CR-mapping from a nilpotent Lie group

of step two to another such group satisfies a Beltrami-type system of partial differential equations which is usually not elliptic but subelliptic when the group

is strongly 2-pseudoconcave. We derive an integral representation formula for CR-mappings from a strongly 2-pseudoconcave nilpotent Lie group of step two to another such group and establish the Hölder continuity of ε-quasi-CR-mappings and the stability of CR-mappings between such groups.

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Authors and Affiliations

  1. Zhejiang University (Xixi Campus), Zhejiang, P. R. China

    Wei Wang

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  1. Wei Wang
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Original Russian Text Copyright © 2007 Wang W.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 3, pp. 512–535, May–June, 2007.

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Wang, W. On stability of CR-mappings between nilpotent lie groups of step two. Sib Math J 48, 408–427 (2007). https://doi.org/10.1007/s11202-007-0044-y

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  • DOI: https://doi.org/10.1007/s11202-007-0044-y

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