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Local Cauchy-Riemann embeddability of real hyperboloids into spheres

Authors:	Jong-Won Oh

Affiliation:	Department of Mathematics, Yonsei University, Seoul 120-749, Korea

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 if and only if it is spherical.

Keywords:	CR embeddability real hyperboloid sphere the Gauss equation.

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