Communications of the
Korean Mathematical Society CKMS

The main object of the present paper is to study conformal Ricci soliton on paracontact metric $(k,\mu)$-manifolds with respect to Schouten-van Kampen connection. Further, we obtain the result when paracontact metric $(k,\mu)$-manifolds with respect to Schouten-van Kampen connection satisfying the condition $\overset{\star}{C}(\xi,U)\cdot\overset{\star}{S}=0$. Finally we characterized concircular curvature tensor on paracontact metric $(k,\mu)$-manifolds with respect to Schouten-van Kampen connection.

Keywords: Ricci soliton, concircular curvature tensor, Schouten-van Kampen connection

MSC numbers: Primary 53B30, 53C15, 53C25; Secondary 53D10