$*$-Ricci tensor on three dimensional almost coK\"{a}hler manifolds

Venkatesha Venkatesha, Uday Chand De, H Aruna Kumara, Devaraja Mallesha Naik

Abstract


In this paper, we obtain some classification results of three-dimensional non-coK\"{a}hler almost coK\"{a}hler manifold $M$ whose Reeb vector field is strongly normal unit vector field with $\xi(\|\nabla_\xi h\|)=0$, for which the $*$-Ricci tensor is of Codazzi-type or $M$ satisfies the curvature condition $Q^*\cdot R=0$.

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