Ricci solitons on contact pseudo-metric manifolds
In this paper, we prove that a Sasakian pseudo-metric manifold which admits an Ricci soliton is an Einstein manifold, and if the potential vector field of the Ricci soliton is not a Killing vector field then the manifold is homothetically fixed, and the vector field leaves the structure tensor field invariant. Next, we prove that a contact pseudo-metric manifold with a gradient Ricci soliton metric is Einstein. Moreover, we study contact pseudo-metric manifolds admitting an Ricci soliton with a potential vector field point-wise colinear with the Reeb vector field. Finally, we study gradient Ricci solitons on -contact pseudo-metric manifolds.