## Journal of the Mathematical Society of Japan

### Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

#### Abstract

Given a strictly pseudoconvex hypersurface MCn+1, we discuss the problem of classifying all local CR diffeomorphisms between open subsets N, N′ ⊂ M. Our method exploits the Tanaka-Webster pseudohermitian invariants of a contact form ϑ 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.

#### Article information

Source
J. Math. Soc. Japan, Volume 64, Number 1 (2012), 153-179.

Dates
First available in Project Euclid: 26 January 2012

https://projecteuclid.org/euclid.jmsj/1327586977

Digital Object Identifier
doi:10.2969/jmsj/06410153

Mathematical Reviews number (MathSciNet)
MR2879739

Zentralblatt MATH identifier
1250.32034

Subjects
Primary: 32V40: Real submanifolds in complex manifolds

#### Citation

MONTI, Roberto; MORBIDELLI, Daniele. Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids. J. Math. Soc. Japan 64 (2012), no. 1, 153--179. doi:10.2969/jmsj/06410153. https://projecteuclid.org/euclid.jmsj/1327586977

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