## Mathematical Sciences Faculty Publications

#### Title

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

Article

Fall 10-2013

#### Publication Source

Journal of Geometric Analysis

23

4

1780-1793

Springer US

1050-6926

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

COinS