Analytic jet parametrization for CR automorphisms of some essentially finite CR manifolds

  • Kim, Sung-Yeon
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초록

In this paper we construct analytic jet parametrizations for the germs of real analytic CR automorphisms of some essentially finite CR manifolds on their finite jet at a point. As an application we show that the stability groups of such CR manifolds have Lie group structure under composition with the topology induced by uniform convergence on compacta.

키워드

REAL-SUBMANIFOLDSLEVI FORMSMAPPINGSDEPENDENCESYSTEM
제목
Analytic jet parametrization for CR automorphisms of some essentially finite CR manifolds
저자
Kim, Sung-Yeon
DOI
10.1017/S0027763000009533
발행일
2008-03
유형
Article
저널명
Nagoya Mathematical Journal
189
페이지
155 ~ 168