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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We apply the obtained results to slant submanifolds.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:We apply the obtained results to slant submanifolds.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized S-space-form · intrinsic invariant · slant submanifold
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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
FUENTES, A., FERNÁNDEZ, L. (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/530264