Oguzhan Bahadir, Mukut Mani Tripathi, "Geometry of Lightlike Hypersurfaces of a Statistical Manifold," WSEAS Transactions on Mathematics, vol. 22, pp. 466-474, 2023, DOI:10.37394/23206.2023.22.52
Oguzhan Bahadir, Mukut Mani Tripathi. Geometry of Lightlike Hypersurfaces of a Statistical Manifold.
WSEAS Transactions on Mathematics. 2023;22:466-474. 10.37394/23206.2023.22.52
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Geometry of Lightlike Hypersurfaces of a Statistical Manifold
Authors: ,
Abstract: In this paper, we introduced the lightlike hypersurfaces of a statistical manifold. 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.
Pages: 466-474 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #52 DOI: 10.37394/23206.2023.22.52
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