On Ricci curvature of submanifolds in statistical manifolds of constant (quasi-constant) curvature

In 1999, B. Y. Chen established a sharp inequality between the Ricci curvature and the squared mean curvature for an arbitrary Riemannian submanifold of a real space form. This inequality was extended in 2015 by M. E. Aydin et al. to the case of statistical submanifolds in a statistical manifold of...

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Bibliographic Details
Main Authors: Aliya Naaz Siddiqui, Mohammad Hasan Shahid, Jae Won Lee
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020227/fulltext.html