Geometry of lightlike hypersurfaces of a statistical manifold

Oguzhan Bahadir; Mukut Mani Tripathi

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arXiv · 1901.09251

Geometry of lightlike hypersurfaces of a statistical manifold

Oguzhan Bahadir·Mukut Mani Tripathi

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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.

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Oguzhan Bahadir, Mukut Mani Tripathi. 2019-01-26. Geometry of lightlike hypersurfaces of a statistical manifold. https://arxiv.org/abs/1901.09251

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