We give a holomorphic extension result from non generic CR submanifold of C of positive CR dimension. We consider N a non generic CR submanifold given by N = {N, h(N)} where N is a generic submanifold of some C and h is a CR map from N into C. We prove that if N is a hypersurface then any CR distribution on N extends holomorphically to a complex transversal wedge, we then generalize this result...

Mathematics Subject Classification (2000): 53C25, 53C40, 53C42.

Recently, the author established general inequalities for CR-doubly warped products isometrically immersed in Sasakian space forms. In the present paper, we obtain sharp estimates for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping functions (intrinsic invariants) for contact CR-doubly warped products isometrically immersed in Kenmotsu space form...

The topic of the paper is the study of germs of local holomorphisms f between Cn and Cn ′ such that f(M) ⊂ M ′ and df(T cM) = T cM ′ for M ⊂ Cn and M ′ ⊂ Cn generic real-analytic CR submanifolds of arbitrary codimensions. It is proved that for M minimal and M ′ finitely nondegenerate, such germs depend analytically on their jets. As a corollary, an analytic structure on the set of all germs of ...