THE IMPACT OF SEMI-SYMMETRIC NON-METRIC CONNECTION ON A 3-DIMENSIONAL RIEMANNIAN MANIFOLD ADMITTING SOLITONS

This article carries out the investigation of a 3-dimensional Riemannian manifold M^3 endowed with a semi-symmetric type of non-metric connection. After introduction, we provide the basic results of semi-symmetric non-metric connection. Next we investigate gradient η- Ricci solitons and gradient Ricci-Yamabe solitons with respect to semi-symmetric non-metric connection and obtain several interesting results.