Title

On a CR Transversality Problem Through the Approach of the Chern–Moser Theory

Document Type

Article

Publication Date

Fall 10-2013

Publication Source

Journal of Geometric Analysis

Volume

23

Issue

4

Inclusive pages

1780-1793

Publisher

Springer US

ISBN/ISSN

1050-6926

Peer Reviewed

yes

Abstract

In this paper, we give a geometric condition for a CR map, which sends a CR non-umbilical Levi non-degenerate hypersurface in $\mathbf C^{n+1}$ into the hyperquadric in $\mathbf C^{n+2}$ with the same signature, to be CR transversal.

Keywords

Chern-Moser theory, transversality, Levi-nondegenerate, umbilical

Disciplines

Analysis | Geometry and Topology

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