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Dergiler / 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
Sayfa
59–74
Yayın Tarihi
2022-10-18
DOI
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⚡ 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:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (19)

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