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Remarks on the rigidity of CR-manifolds

Published online by Cambridge University Press:  14 July 2006

Sung-Yeon Kim  and
Dmitri Zaitsev
Sung-Yeon Kim
Affiliation:
Korea Institute for Advanced Study, Cheongnyangni 2-dong Dongdaemun-gu, Seoul 130-722, Koreasykim87@kias.re.kr
Dmitri Zaitsev
Affiliation:
School of Mathematics, Trinity College Dublin, Dublin 2, Irelandzaitsev@maths.tcd.ie
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Abstract

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We propose a procedure to construct new smooth CR-manifolds whose local stability groups, equipped with their natural topologies, are subgroups of certain (finite-dimensional) Lie groups but not Lie groups themselves.

Keywords

CR-automorphismslocal stability groupLie group structurejet spaces32H0232V40
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 4 , July 2006 , pp. 1009 - 1017
Copyright
Foundation Compositio Mathematica 2006