Versal embeddings of compact, regular 3-pseudoconcave CR submanifolds

Abstract

We prove that for an induced CR structure on a compact, generic, regular 3-pseudoconcave CR submanifold ${\bold M}\subset{\bold G}$, of a complex manifold ${\bold G}$, satisfying condition $\dim H^1({\bold M}, T^{\prime}({\bold G})|_{\bold M})=0$ all the close CR structures are induced by close embeddings.