Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

Roberto Monti; Daniele Morbidelli

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Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

机译：伪椭圆形不变量和广义椭圆体中CR映射的分类

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摘要

Given a strictly pseudoconvex hypersurface M C C~(n+1), we discuss the problem of classifying all local CR diffeomorphisms between open subsets N,N' C M. Our method exploits the Tanaka-Webster pseudohermitian invariants of a contact form v on M, their transformation formulae, and the Chern-Moser invariants. Our main application concerns a class of generalized ellipsoids where we classify all local CR mappings.

机译：给定严格伪凸超曲面MCC〜（n + 1），我们讨论了对开放子集N，N'C M之间的所有局部CR微分进行分类的问题。我们的方法利用了M上接触形式v的Tanaka-Webster伪埃尔米特不变量。他们的转换公式以及Chern-Moser不变量。我们的主要应用涉及一类广义椭圆体，其中我们对所有本地CR映射进行分类。

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来源
《Journal of the Mathematical Society of Japan》 |2012年第1期|p.153-179|共27页
作者
Roberto Monti; Daniele Morbidelli;
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作者单位

Dipartimento di Matematica Pura ed Applicata Universita di Padova Italy;

Dipartimento di Matematica Universita di Bologna Italy;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
CR mappings; pseudohermitian invariants; CR invariants;

机译：CR映射;伪hermitian不变量;CR不变量;

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Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

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