Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

2010/04/12 by Roberto Monti, Monti, Roberto, Daniele Morbidelli +1
Mathematics · #32V40 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Point processes and geometric inequalities #math.CV #msc:32V40

paper · pdf · doi:10.48550/arxiv.1004.1922

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

openalex publication_date 2010/04/12 · arxiv created 2011/03/04 · arxiv updated 2011/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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