A smooth regularity theorem for nondegenerate CR mappings

Bernhard Lamel

A smooth regularity theorem for nondegenerate CR mappings

Bernhard Lamel

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We prove the following regularity result: If M ? CN, M' ? CN' are smooth generic submanifolds and M is minimal, then every Ck-CR-map from M into M' which is k-nondegenerate is smooth. As an application, every CR diffeomorphism of k-nondegenerate minimal submanifolds in CN of class Ck is smooth.

Original language	English
Pages (from-to)	315-326
Number of pages	12
Journal	Monatshefte für Mathematik
Volume	142
Issue number	4
Publication status	Published - 2004

Austrian Fields of Science 2012

1010 Mathematics

Cite this

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title = "A smooth regularity theorem for nondegenerate CR mappings",

abstract = "We prove the following regularity result: If M ? CN, M' ? CN' are smooth generic submanifolds and M is minimal, then every Ck-CR-map from M into M' which is k-nondegenerate is smooth. As an application, every CR diffeomorphism of k-nondegenerate minimal submanifolds in CN of class Ck is smooth.",

author = "Bernhard Lamel",

note = "22.10.2007: Datenanforderung 1920 (Import Sachbearbeiter) 04.01.2008: Datenanforderung 2054 (Import Sachbearbeiter)",

year = "2004",

language = "English",

volume = "142",

pages = "315--326",

journal = "Monatshefte f{\"u}r Mathematik",

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T1 - A smooth regularity theorem for nondegenerate CR mappings

AU - Lamel, Bernhard

N1 - 22.10.2007: Datenanforderung 1920 (Import Sachbearbeiter) 04.01.2008: Datenanforderung 2054 (Import Sachbearbeiter)

PY - 2004

Y1 - 2004

N2 - We prove the following regularity result: If M ? CN, M' ? CN' are smooth generic submanifolds and M is minimal, then every Ck-CR-map from M into M' which is k-nondegenerate is smooth. As an application, every CR diffeomorphism of k-nondegenerate minimal submanifolds in CN of class Ck is smooth.

AB - We prove the following regularity result: If M ? CN, M' ? CN' are smooth generic submanifolds and M is minimal, then every Ck-CR-map from M into M' which is k-nondegenerate is smooth. As an application, every CR diffeomorphism of k-nondegenerate minimal submanifolds in CN of class Ck is smooth.

M3 - Article

SN - 0026-9255

VL - 142

SP - 315

EP - 326

JO - Monatshefte für Mathematik

JF - Monatshefte für Mathematik

IS - 4

ER -

A smooth regularity theorem for nondegenerate CR mappings

Abstract

Austrian Fields of Science 2012

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