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Dergiler / International Electronic Journal of Geometry / 2024 / Volume: 17 Issue: 2

Metallic Structures on Product Manifolds and Chen-Ricci Inequalities

Mustafa Gök(MİLLİ SAVUNMA ÜNİVERSİTESİ)0000-0001-6346-0758
Sayfa
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Yayın Tarihi
2024-10-27
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Moreover, the equality cases are considered in order to characterize these submanifolds.

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Amaç & Hipotez:In this study, we discuss metallic structures on product manifolds and derive the Chen-Ricci inequalities for remarkable submanifolds determined by the behaviour of their tangent bundles with regard to the action of the metallic structure in a locally decomposable metallic Riemannian manifold whose components are spaces of constant curvature.
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Temel Bulgular & Veri:In this study, we discuss metallic structures on product manifolds and derive the Chen-Ricci inequalities for remarkable submanifolds determined by the behaviour of their tangent bundles with regard to the action of the metallic structure in a locally decomposable metallic Riemannian manifold whose components are spaces of constant curvature.
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Sonuç & Katkı:Moreover, the equality cases are considered in order to characterize these submanifolds.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Metallic structure · metallic Riemannian manifold · Riemannian submanifold

Abstract

In this study, we discuss metallic structures on product manifolds and derive the Chen-Ricci inequalities for remarkable submanifolds determined by the behaviour of their tangent bundles with regard to the action of the metallic structure in a locally decomposable metallic Riemannian manifold whose components are spaces of constant curvature. Moreover, the equality cases are considered in order to characterize these submanifolds.

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Bu Makaleye Atıf Yap

Gök, M. (2024). Metallic Structures on Product Manifolds and Chen-Ricci Inequalities. International Electronic Journal of Geometry, Volume: 17 Issue: 2. https://doi.org/10.36890/iejg.1458491

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