A note on Ricci and Yamabe solitons on almost Kenmotsu manifolds


H Öztürk, S K Yadav




The object of the present paper is to study almost Kenmotsu manifolds admitting Ricci and Yamabe solitons with conformal Reeb foliation. We found that there exist no non-zero parallel 2-form in such a manifold with conformal Reeb foliation. We also study the torque and concurrent vector fields on almost Kenmotsu manifolds. Next we prove certain condition for a vector field to be Killing. Finally, we construct an example to verify some results.