Given a strictly pseudoconvex hypersurface M ½ Cn+1, we discuss the problem of classifying all local CR diffeomorphisms between open subsets N;N0 ½ M. Our method exploits the Tanaka–Webster pseudohermitian invariants of a contact form # 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
MONTI, ROBERTO;
2012
Abstract
Given a strictly pseudoconvex hypersurface M ½ Cn+1, we discuss the problem of classifying all local CR diffeomorphisms between open subsets N;N0 ½ M. Our method exploits the Tanaka–Webster pseudohermitian invariants of a contact form # 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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.