Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

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

2010-04-12

arxiv.org/abs/1004.1922v2

Mathematics

Complex Variables

Accepted version, to appear on J. Math. Soc. Japan

Scientific paper

We discuss the problem of classifying all local CR diffeomorphisms of a
strictly pseudoconvex surface. Our method exploits the Tanaka--Webster
pseudohermitian invariants, 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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