Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations

Oğuzhan Bahadır, Aliya Naaz Siddiqui, Mehmet Gülbahar and Ali Hussain Alkhaldi
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Oğuzhan Bahadır: Department of Mathematics, Faculty of Arts and Sciences, Kahramanmaras Sutçu Imam University, Kahramanmaras 46050, Türkiye
Aliya Naaz Siddiqui: Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala 133207, India
Mehmet Gülbahar: Department of Mathematics, Faculty of Arts and Sciences, Harran University, Şanlıurfa 63300, Türkiye
Ali Hussain Alkhaldi: Department of Mathematics, College of Science, King Khalid University, Abha 9004, Saudi Arabia

Mathematics, 2022, vol. 10, issue 13, 1-18

Abstract: In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained. These inequalities are also investigated on lightlike hypersurfaces of Lorentzian statistical space forms.

Keywords: lightlike hypersurface; statistical manifold; dual connections; chen-like inequalities; curvatures (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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