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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Veröffentlicht in:Mathematics (Basel) 2022-06, Vol.10 (13), p.2290
Hauptverfasser: Bahadır, Oğuzhan, Siddiqui, Aliya Naaz, Gülbahar, Mehmet, Alkhaldi, Ali Hussain
Format: Artikel
Sprache:eng
Schlagworte:
Artificial intelligence
chen-like inequalities
curvatures
dual connections
Euclidean space
Hyperspaces
Inequalities
lightlike hypersurface
Manifolds
Manifolds (Mathematics)
Mathematical research
Mathematics
statistical manifold
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10132290