Geometry of sub-Riemannian manifolds equipped with a quasi-semi-Weyl structure
Journal: IntechOpen eBooks
Year: 2023

The quasi-semi-Weyl and quasi-statistical structures are based on a connection with torsion. In this paper, as a connection with torsion, we consider the so-called extended connection, which is defined with the help of an intrinsic connection, i.e., a connection in the distribution of a sub-Riemannian manifold, and with the help of an endomorphism that preserves the specified distribution and is called a structural endomorphism. It is proved that the extended connection is a connection of the qu