Chen Inequalities for Submanifolds of Real Space Forms with a Ricci Quarter-Symmetric Metric Connection

Year 2019, Volume: 12 Issue: 1, 102 - 110, 27.03.2019

Nergiz (önen) Poyraz , Halil İbrahim Yoldaş

https://doi.org/10.36890/iejg.545850

Cited By: 5

Abstract

In this paper, we establish some inequalities for submanifolds of real space forms endowed

with a Ricci quarter-symmetric metric connection. Using these inequalities, we obtain the relation

between Ricci curvature, scalar curvature and the mean curvature endowed with the Ricci quartersymmetric

metric connection.

Keywords

Chen inequality, Ricci quarter-symmetric metric connection, Ricci curvature

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