Conformal Ricci Solitons with Respect to Generalazed Symmetric Metric Connection on Riemannian and LP-Sasakian Manifolds

Abstract

In this paper, I have studied conformal Ricci solitons with respect to generalized symmetric metric connection and obtain a necessary condition so that conformal Ricci soliton equation remains invariant with respect to generalized symmetric metric connections on Riemannian and LP-Sasakian manifolds. If the vector field $\xi$ of a LP-Sasakian manifolds is torqued vector field, then some important results are obtained.