Non-linearizable CR-automorphisms, torsion-free elliptic CR-manifolds and second order ODE

V Ezhov; G Schmalz

doi:10.1515/crll.2005.2005.584.215

Non-linearizable CR-automorphisms, torsion-free elliptic CR-manifolds and second order ODE

V Ezhov, G Schmalz

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The existence of non-linearizable isotropic CR-automorphisms of Levi non-degenerate hypersurfaces in complex space is characteristic for quadrics. In this paper we discover elliptic CR-manifolds of CR-dimension and codimension two that are not related to the quadric and that have non-linearizable isotropic automorphisms. This is a new and unexpected phenomenon. A complete description of such manifolds is given.

Original language	English
Pages (from-to)	215-236
Journal	Journal für die reine und angewandte Mathematik
Volume	2005
Issue number	584
DOIs	https://doi.org/10.1515/crll.2005.2005.584.215
Publication status	Published - 2005

Keywords

Real and Complex Functions (incl Several Variables)

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10.1515/crll.2005.2005.584.215

https://hdl.handle.net/1959.11/1059

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title = "Non-linearizable CR-automorphisms, torsion-free elliptic CR-manifolds and second order ODE",

abstract = "The existence of non-linearizable isotropic CR-automorphisms of Levi non-degenerate hypersurfaces in complex space is characteristic for quadrics. In this paper we discover elliptic CR-manifolds of CR-dimension and codimension two that are not related to the quadric and that have non-linearizable isotropic automorphisms. This is a new and unexpected phenomenon. A complete description of such manifolds is given.",

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AU - Ezhov, V

AU - Schmalz, G

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AB - The existence of non-linearizable isotropic CR-automorphisms of Levi non-degenerate hypersurfaces in complex space is characteristic for quadrics. In this paper we discover elliptic CR-manifolds of CR-dimension and codimension two that are not related to the quadric and that have non-linearizable isotropic automorphisms. This is a new and unexpected phenomenon. A complete description of such manifolds is given.

KW - Real and Complex Functions (incl Several Variables)

UR - https://www.scopus.com/pages/publications/27844536558

U2 - 10.1515/crll.2005.2005.584.215

DO - 10.1515/crll.2005.2005.584.215

M3 - Article

SN - 0075-4102

VL - 2005

SP - 215

EP - 236

JO - Journal für die reine und angewandte Mathematik

JF - Journal für die reine und angewandte Mathematik

IS - 584

ER -

Non-linearizable CR-automorphisms, torsion-free elliptic CR-manifolds and second order ODE

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Keywords

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