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

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

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...

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Bibliographic Details
Main Authors: Alkhaldi, A.H (Author), Bahadır, O. (Author), Gülbahar, M. (Author), Siddiqui, A.N (Author)
Format: Article
Language:English
Published: MDPI 2022
Subjects:
chen-like inequalities
curvatures
dual connections
lightlike hypersurface
statistical manifold
Online Access:View Fulltext in Publisher
Description
Summary: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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
ISBN:22277390 (ISSN)
DOI:10.3390/math10132290

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