Ricci solitons on η-einstein contact manifolds
TLDR
In this article, the Ricci solitons on η-Einstein contact manifolds were studied and some important corollaries were derived for the main result of the present paper.Abstract:
The object of the present paper is to study Ricci solitons on η-Einstein contact manifolds. As a consequence of the main result we deduce some important corollaries.read more
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Journal ArticleDOI
A Note on Ricci Solitons
Sharief Deshmukh,Hana Alsodais +1 more
TL;DR: It is shown that a solution of a Poisson equation is the energy function f of a compact Ricci soliton if and only if the Riccisoliton is trivial.
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TL;DR: In this paper, the Eisenhart problem of finding parallel tensors for the symmetric case in the regular $f$-Kenmotsu framework was solved for the Ricci tensors.
Journal ArticleDOI
Ricci solitons and contact metric manifolds
TL;DR: In this article, a Ricci soliton with potential vector field V collinear with ξ at each point under different curvature conditions was studied on a contact metric manifold M2n+1(ϕ, ξ, η, g).
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Complete Shrinking Ricci Solitons have Finite Fundamental Group
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