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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Oğuzhan Bahadır & Aliya Naaz Siddiqui & Mehmet Gülbahar & Ali Hussain Alkhaldi, 2022. "Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations," Mathematics, MDPI, vol. 10(13), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2290-:d:852705
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    References listed on IDEAS

    as
    1. Chul Woo Lee & Jae Won Lee, 2018. "Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures," Mathematics, MDPI, vol. 6(11), pages 1-10, November.
    2. Paul Vos, 1989. "Fundamental equations for statistical submanifolds with applications to the Bartlett correction," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(3), pages 429-450, September.
    Full references (including those not matched with items on IDEAS)

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