Given a strictly pseudoconvex hypersurface M ⊂ C^{n+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.
Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids / R. Monti; D. Morbidelli. - In: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. - ISSN 0025-5645. - STAMPA. - 364:(2012), pp. 153-179. [10.2969/jmsj/06410153]
Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids
MORBIDELLI, DANIELE
2012
Abstract
Given a strictly pseudoconvex hypersurface M ⊂ C^{n+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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
