η-Ricci Solitons in α-Sasakian Manifolds

S R Ashoka; C S Bagewadi; Gurupadavva Ingalahalli

doi:10.56424/jts.v8i01.10553

S R Ashoka Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, INDIA
C S Bagewadi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, INDIA
Gurupadavva Ingalahalli Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, INDIA

DOI: https://doi.org/10.56424/jts.v8i01.10553

Keywords: Ricci soliton, α−Sasakian manifold, Einstein.

Abstract

In this paper we study η−Ricci solitons in α−Sasakian manifolds its shows that a symmetric second order covariant tensors in α−Sasakian manifolds is a constant multiple of metric tensor using this it is shown that LV g+ 2S + 2µη-η is parallel, where V is a given vector field then (g, V, µ) is η−Ricci solitons.