Ricci Solitons in β -Kenmotsu Manifolds
Copyright policy )Ricci Solitons in β -Kenmotsu Manifolds
Abstract The object of the present paper is to study Ricci soliton in β -Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a β -Kenmotsu manifold is a constant multiple of the metric tensor. Using this result, it is shown that if (ℒ Vg +2 S )is ∇-parallel where V is a given vector field, then the structure ( g, V, λ ) yields a Ricci soliton. Further, by virtue of this result, we found the conditions of Ricci soliton in β -Kenmotsu manifold to be shrinking, steady and expending respectively. Next, Ricci soliton for 3-dimensional β -Kenmotsu manifold are discussed with an example.
\( \beta \)-Kenmotsu manifold, Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows), einstein manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Ricci flow, Einstein manifold, QA1-939, ricci flow, β-kenmotsu manifold, \(G\)-structures, ricci soliton, Mathematics, Ricci soliton
\( \beta \)-Kenmotsu manifold, Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows), einstein manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Ricci flow, Einstein manifold, QA1-939, ricci flow, β-kenmotsu manifold, \(G\)-structures, ricci soliton, Mathematics, Ricci soliton
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