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Journals / International Electronic Journal of Geometry / 2026 / Volume: 19 Issue: 1

Hineva and Chen-Ricci Inequalities for Ricci Curvature of Submanifolds of Product Generalized Sasakian Space Forms

Kapil Kumar Verma(Banaras Hindu University)0009-0008-6193-6861
Adela Mihai(Technical University of Civil Engineering Bucharest)0000-0003-2033-8394
Ion Mihai(University of Bucharest)0000-0003-3782-2983
Mukut Mani Tripathi(Banaras Hindu University)0000-0002-6113-039X
Pages
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Publication Date
2026-04-22
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The equality cases are also discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The sectional curvature, Ricci curvature, and scalar curvature for a product generalized Sasakian space form are obtained.
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Key Findings & Data:Furthermore, the Chen-Ricci inequality and the Hineva inequality are established for submanifolds of a product generalized Sasakian space form, including product Sasakian, product cosymplectic, and product Kenmotsu space forms.
💡
Conclusion & Impact:The equality cases are also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kulkarni-Nomizu tensor field · algebraic Gauss equation · Chen-Ricci inequality

Abstract

The sectional curvature, Ricci curvature, and scalar curvature for a product generalized Sasakian space form are obtained. Furthermore, the Chen-Ricci inequality and the Hineva inequality are established for submanifolds of a product generalized Sasakian space form, including product Sasakian, product cosymplectic, and product Kenmotsu space forms. The equality cases are also discussed.

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Cite This Article

Verma, K. K., Mihai, A., Mihai, I., Tripathi, M. M. (2026). Hineva and Chen-Ricci Inequalities for Ricci Curvature of Submanifolds of Product Generalized Sasakian Space Forms. International Electronic Journal of Geometry, Volume: 19 Issue: 1. https://doi.org/10.36890/iejg.1849809

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