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 $\mathbf{M}\subset \mathbf{G}$, of a complex manifold $\mathbf{G}$, satisfying condition $\dim H^1(\mathbf{M},T^{\prime }(\mathbf{G}){|}_{\mathbf{M}})=0$ all the close CR structures are induced by close embeddings.

32 pages