Local Cauchy-Riemann embeddability of real hyperboloids into spheres

Abstract

Abstract. In this paper, we study the local Cauchy-Riemann embeddability of strictly pseudoconvex real hyperboloids M 2n+1 into spheres. By solving a CR analogue of the Gauss equation, we prove that M 2n+1 is CR-embeddable into spheres with a CR co-dimension < n − 1 if and only if it is spherical.