In 1985, Amari [1] introduced an interesting manifold, i.e., statistical manifold in the context of information geometry. The geometry of such manifolds includes the notion of dual connections, called conjugate connections in affine geometry, it is closely related to affine geometry. A statistical structure is a generalization of a Hessian one, it connects Hessian geometry. In the present paper...

The goal of this paper is to develop a theory of nonsmooth analytic discs attached to domains with Lipschitz boundary in real submanifolds of Cn. We then apply this technique to establish a propagation principle for wedge extendibility of CR-functions on these domains along CR-curves and along boundaries of attached analytic discs. The technique from this paper has been also extensively used by...

Given N a non generic smooth CR submanifold of C, N = {(N, h(N))} where N is generic in C and h is a CR map from N into C. We prove, using only elementary tools, that if h is decomposable at p′ ∈ N then any decomposable CR distribution on N at p = (p′, h(p′)) extends holomorphically to a complex transversal wedge. This gives an elementary proof of the well known equivalent for totally real non ...

This paper mainly devotes to the study of some solitons such as Ricci and Yamabe also their combination called Ricci-Yamabe solitons. In geometry solitons, a fundamental question is identify conditions under which these can be trivial. Firstly, in this we extensive results on generic contact CR-submanifolds Sasakian manifolds endowed with concurrent vector fields. Then applications submanifolds...