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      Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids

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          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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          • Record: found
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          Pseudo-Hermitian structures on a real hypersurface

          S. M. Webster (1978)
          Article 0 comments Cited 69 times – based on 0 reviews     Review now
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            On the pseudo-conformal geometry of hypersurfaces of the space of $n$ complex variables

            Noboru TANAKA (1962)
            Article 0 comments Cited 45 times – based on 0 reviews     Review now
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              Holomorphic differential invariants for an ellipsoidal real hypersurface

              S. M. Webster (2000)
              Article 0 comments Cited 8 times – based on 0 reviews     Review now
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                Author and article information

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                Publication date Created: 12 April 2010
                Publication date Updated: 2011-03-04
                Article
                ArXiV ID: 1004.1922
                SO-VID: 02db2ac4-7d1a-464f-a182-a3fa99463bb1
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                ACM classes 32V40
                Comments Accepted version, to appear on J. Math. Soc. Japan
                Categories math.CV

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