English

Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

Complex Variables 2011-03-07 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1004.1922,
  title  = {Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids},
  author = {Roberto Monti and Daniele Morbidelli},
  journal= {arXiv preprint arXiv:1004.1922},
  year   = {2011}
}

Comments

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