On Statistical and Semi-Weyl Manifolds Admitting Torsion

Abstract

We introduce the concept of quasi-semi-Weyl structure, we provide a couple of ways for constructing quasi-statistical and quasi-semi-Weyl structures by means of a pseudo-Riemannian metric, an affine connection and a tensor field on a smooth manifold, and we place these structures in relation with one another.

Keywords

• statistical structure
• quasi-statistical structure
• semi-Weyl structure
• quasi-semi-Weyl structure
• dual
• semi-dual connections