Local Cauchy-Riemann embeddability of real hyperboloids into spheres

Oh, Jong-Won

doi:10.1090/S0002-9939-06-08741-7

Local Cauchy-Riemann embeddability of real hyperboloids into spheres
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Proc. Amer. Math. Soc. 135 (2007), 397-403 Request permission

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.

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