On the Ricci Curvature of Normal-Metric Contact Pair Manifolds

Abstract

In this study, we work on normal-metric contact pair manifolds under certain conditions related to the Ricci curvature. We obtain some results for generalized quasi-Einstein normal-metric contact pair manifolds. We prove that such manifolds are not pseudo-Ricci symmetric. Finally, we investigate Ricci solitons on normal-metric contact pair manifolds.

Keywords

• ricci symmetric
• normal-metric contact pair manifold
• generalized quasi-einstein
• ricci curvature