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Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 1

Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms

L.M. FERNANDEZ
A.M. FUENTES
Pages
59–74
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

We apply the obtained results to slant submanifolds.

📌 3 Key Takeaways

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Objective & Hypothesis:We establish some inequalities of Chen s type between certain intrinsic invariants (involving sectional, Ricci and scalar curvatures) and the squared mean curvature of submanifolds tangent to the structure vector fields of a generalized S-space-form and we discuss the equality cases of them.
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Key Findings & Data:We establish some inequalities of Chen s type between certain intrinsic invariants (involving sectional, Ricci and scalar curvatures) and the squared mean curvature of submanifolds tangent to the structure vector fields of a generalized S-space-form and we discuss the equality cases of them.
💡
Conclusion & Impact:We apply the obtained results to slant submanifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We establish some inequalities of Chen s type between certain intrinsic invariants (involving sectional, Ricci and scalar curvatures) and the squared mean curvature of submanifolds tangent to the structure vector fields of a generalized S-space-form and we discuss the equality cases of them. We apply the obtained results to slant submanifolds.

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Cite This Article

FERNANDEZ, L., FUENTES, A. (2022). Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 59–74. https://ajindex.com/articles/530274

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