Certain results on generalized (k,μ)-contact metric manifolds

The object of the present paper is to study second order symmetric parallel tensors in generalized ( k , μ ) -contact metric manifolds and its applications to Ricci solitons. Next, we prove that a generalized ( k , μ ) -contact metric manifold M admits a Ricci soliton whose potential vector field is the Reeb vector field ξ if and only if M is a Sasaki–Einstein manifold. Finally, we give some examples of generalized ( k , μ ) -contact metric manifold.