Journal of the
Korean Mathematical Society JKMS

Let $M$ and $N$ be CR manifolds with nondegenerate Levi forms of hypersurface type of dimension $2m+1$ and $2n+1$, respectively, where $1 \le m \le n$. Let $f: M \rightarrow N$ be a CR mapping. Under a generic assumption we construct a complete system of finite order for the infinitesimal deformations of $f$. In particular, we prove the space of infinitesimal deformations of $f$ forms a finite dimensional Lie algebra.

Keywords: CR manifold, CR mapping, tangential Cauchy-Riemann equations, infinitesimal deformation, complete system

MSC numbers: 32V05, 32V40