Solitons on Nearly Cosymplectic Manifold Exhibitting Schouten Van Kampen Connection

Abstract

The following research investigates various types of soliton of NC (Nearly Cosymplectic) manifolds with SVK (Schouten-van Kampen) connections, which are steady, shrinking, or expanding. Further, we investigate the geometric characteristics of Ricci solitons, Yamabe solitons, $\eta$-ricci soliton etc. We also study the curvature features of the SVK connection on an NC manifold. In addition, an example is developed to demonstrate the results.

Keywords

• einstein manifold
• nearly cosymplectic manifold
• quasi einstein manifold
• ricci soliton
• schouten van kampen connection
• yamabe soliton