On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in ℂ N+1

Abstract

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in C N+1 near the origin, and the connected component containing the identity transformation of all locally holomorphic automorphisms of these hypersurfaces near the origin.