Ricci Curvatures on Hypersurfaces of Almost Product-like Statistical Manifolds

M. Gülbahar, Esra Erkan, Meral Düzgör
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Abstract

Riemannian curvature invariants on hypersurfaces of an almost product-like manifold with constant curvature υ are computed. Various relationships involving sectional curvatures and Ricci curvatures have been obtained. Using the Chen-Ricci inequality, some characterizations are presented.
几乎类积统计方程超曲面上的里奇曲率
计算了具有恒定曲率 υ 的几乎积样流形超曲面上的黎曼曲率不变量。得到了涉及截面曲率和利玛窦曲率的各种关系。利用 Chen-Ricci 不等式,提出了一些特征。
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