Geometry of lightlike hypersurfaces of a statistical manifold
Differential Geometry
2019-01-29 v1
Abstract
Lightlike hypersurfaces of a statistical manifold are studied. It is shown that a lightlike hypersurface of a statistical manifold is not a statistical manifold with respect to the induced connections, but the screen distribution has a canonical statistical structure. Some relations between induced geometric objects with respect to dual connections in a lightlike hypersurface of a statistical manifold are obtained. An example is presented. Induced Ricci tensors for lightlike hypersurface of a statistical manifold are computed.
Keywords
Cite
@article{arxiv.1901.09251,
title = {Geometry of lightlike hypersurfaces of a statistical manifold},
author = {Oguzhan Bahadir and Mukut Mani Tripathi},
journal= {arXiv preprint arXiv:1901.09251},
year = {2019}
}