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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

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

Mehmet GÜLBAHAR
Mukut Mani TRIPATHI
Erol KILIÇ
Sayfa
466–483
Yayın Tarihi
2019-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:An optimal inequality involving the scalar curvatures, the mean curvature and the k-Chen invariant is established for Riemannian submanifolds.
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Temel Bulgular & Veri:Particular cases of this inequality is reported.
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Sonuç & Katkı:Furthermore, this inequality is investigated on submanifolds, namely slant, F-invariant and F-anti invariant submanifolds of an almost constant curvature manifold.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

GÜLBAHAR, M., TRIPATHI, M. M., KILIÇ, 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, Cilt: 68 - Sayı: 1, 466–483. https://ajindex.com/articles/747060

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Kaynakça (20)

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