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Study of Differential Equations on Warped Product Semi‐Invariant Submanifolds of the Generalized Sasakian Space Forms

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  • Ibrahim Al-Dayel

Abstract

The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi‐invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to Euclidean space. We also look at the effects of certain differential equations on warped product semi‐invariant product submanifolds and show that the base is isometric to a special type of warped product under some geometric conditions.

Suggested Citation

  • Ibrahim Al-Dayel, 2021. "Study of Differential Equations on Warped Product Semi‐Invariant Submanifolds of the Generalized Sasakian Space Forms," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:7042949
    DOI: 10.1155/2021/7042949
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    References listed on IDEAS

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    1. Ibrahim Al-Dayel & Sharief Deshmukh & Olga Belova, 2020. "A Remarkable Property of Concircular Vector Fields on a Riemannian Manifold," Mathematics, MDPI, vol. 8(4), pages 1-10, March.
    2. Rifaqat Ali & Fatemah Mofarreh & Nadia Alluhaibi & Akram Ali & Iqbal Ahmad, 2020. "On Differential Equations Characterizing Legendrian Submanifolds of Sasakian Space Forms," Mathematics, MDPI, vol. 8(2), pages 1-10, January.
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