REGULARITY OF RIGID CR HYPERSURFACES IN A SPHERE

초록

Let M be a germ of a smooth CR manifold of hypersurface type of dimension 2n + 1 in a sphere S of dimension 2N + 1 with n < N In this paper, we show that if M is rigid and if N - n < n/2, then there exists a complex manifold V of (complex) dimension n + 1 intersecting S transversally such that M = S boolean AND V. As a consequence, we show that M is real analytic.

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