Some geometric properties of η− Ricci solitons and gradient Ricci solitons on (𝑙𝑐𝑠)𝑛−manifolds
Yadav, S. K.
Chaubey, S. K.
Suthar, D. L.
In the context of para-contact Hausdorff geometry η−Ricci solitons and gradient Ricci solitons are considered on manifolds. We establish that on an (LCS)𝑛−manifold (M, ϕ, ξ, η, g), the existence of an η−Ricci soliton implies that (M, g) is quasi-Einstein. We find conditions for Ricci solitons on an (LCS)𝑛−manifold (M, ϕ, ξ, η, g) to be shrinking, steady and expanding. At the end we show examples of such manifolds with η−Ricci solitons.