Schmalz, Gerd; Spiro, Andrea

Author(s)

Schmalz, Gerd

Spiro, Andrea

Publication Date

2003

Abstract

It is known that the CR geometries of Levi non-degenerate hyper-surfaces Cⁿ and of the elliptic or hyperbolic CR sub-manifolds of co-dimension two in C⁴ share many common features. In this paper, a special class of normalized coordinates is introduced for any CR manifold M which is one of the above three kinds and it is shown that the explicit expression in these coordinates of an isotropy automorphism... is equal to the expression of a corresponding element of the automorphism group of the homogeneous model. As an application of this property, an extension theorem for CR maps is obtained.

Citation

Journal of the Korean Mathematical Society, 40(3), p. 461-486

ISSN

0304-9914

Link

https://hdl.handle.net/1959.11/2988

Publisher

Korean Mathematical Society

Title

Normal Systems of Coordinates on Manifolds of Chern-Moser Type

Type of document

Journal Article

Entity Type

Publication

Author(s)	Schmalz, Gerd Spiro, Andrea
Publication Date	2003
Abstract	It is known that the CR geometries of Levi non-degenerate hyper-surfaces Cⁿ and of the elliptic or hyperbolic CR sub-manifolds of co-dimension two in C⁴ share many common features. In this paper, a special class of normalized coordinates is introduced for any CR manifold M which is one of the above three kinds and it is shown that the explicit expression in these coordinates of an isotropy automorphism... is equal to the expression of a corresponding element of the automorphism group of the homogeneous model. As an application of this property, an extension theorem for CR maps is obtained.
Citation	Journal of the Korean Mathematical Society, 40(3), p. 461-486
ISSN	0304-9914
Link	https://hdl.handle.net/1959.11/2988
Publisher	Korean Mathematical Society
Title	Normal Systems of Coordinates on Manifolds of Chern-Moser Type
Type of document	Journal Article
Entity Type	Publication

Normal Systems of Coordinates on Manifolds of Chern-Moser Type

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