Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

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概要

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• 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.

• 2012-01-01

著者

• Monti Roberto

  Dipartimento Di Matematica Pura Ed Applicata Universita Di Padova

• MORBIDELLI Daniele

  Dipartimento di Matematica, Universita di Bologna

関連論文

• Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

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