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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds

Mehmet Gülbahar0000-0001-6950-7633
Mukut Mani Trıpathı0000-0002-6113-039X
Erol Kılıç0000-0001-7536-0404
Pages
—
Publication Date
2019-02-01
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AI Summary & Key Takeaways

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

Furthermore, this inequality is investigated on submanifolds, namely slant, F-invariant and F-anti invariant submanifolds of an almost constant curvature manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:An optimal inequality involving the scalar curvatures, the mean curvature and the k-Chen invariant is established for Riemannian submanifolds.
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Key Findings & Data:Particular cases of this inequality is reported.
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Conclusion & Impact:Furthermore, this inequality is investigated on submanifolds, namely slant, F-invariant and F-anti invariant submanifolds of an almost constant curvature manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Curvature · Riemannian submanifolds · almost constant curvature manifold

Abstract

An optimal inequality involving the scalar curvatures, the mean curvature and the k-Chen invariant is established for Riemannian submanifolds. Particular cases of this inequality is reported. Furthermore, this inequality is investigated on submanifolds, namely slant, F-invariant and F-anti invariant submanifolds of an almost constant curvature manifold.

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Cite This Article

Gülbahar, M., Trıpathı, M. M., Kılıç, E. (2019). Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.430856

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