SOME SOLITONS ON PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CANONICAL PARACONTACT CONNECTION

In this article, we study para-Kenmotsu manifolds admitting k-almost Ricci soliton and quasi-Yamabe soliton under Zamkovoy canonical paracontact connection. The nature of the k-almost Ricci soliton with respect to Zamkovoy canonical paracontact connection is characterized on para-Kenmotsu manifold with some special types of the soliton vector field, and the conditions for the soliton vector field to be proper, homothetic, proper homothetic, or Killing are also given. Next, it is shown that under certain conditions, the soliton vector field of a k-almost Ricci soliton with respect to Zamkovoy canonical paracontact connection reduces to a conformal Killing vector field on para-Kenmotsu manifold. Also, we have obtained some results of the vector field as torse-forming in terms of k-almost Ricci soliton with respect to Zamkovoy canonical paracontact connection on para-Kenmotsu manifold. Next, it is proved that under Zamkovoy canonical paracontact connection, a quasi-Yamabe soliton on para-Kenmotsu manifold is invariant.