Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids
Roberto MONTI and Daniele MORBIDELLI
Source: J. Math. Soc. Japan Volume 64, Number 1
(2012), 153-179.
Abstract
Given a strictly pseudoconvex hypersurface M ⊂ Cn+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.
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1327586977
Digital Object Identifier: doi:10.2969/jmsj/06410153
Zentralblatt MATH identifier: 06020911
Mathematical Reviews number (MathSciNet): MR2879739
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