Journal ArticleDOI
Non-existence of $$*$$ ∗ -Ricci solitons on $$(\kappa ,\mu )$$ ( κ , μ ) -almost cosymplectic manifolds
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In this paper, the authors prove a non-existence result for Ricci solitons on non-cosymplectic manifolds, and prove the same result for almost cosympelous manifolds.Abstract:
In this short note, we prove a non-existence result for $$*$$
-Ricci solitons on non-cosymplectic $$(\kappa ,\mu )$$
-almost cosymplectic manifolds.read more
Citations
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$$*$$ ∗ - $$\eta $$ η -Ricci soliton and contact geometry
TL;DR: In this article, the Ricci soliton is shown to be Ricci flat and locally isometric with respect to the Euclidean distance of the potential vector field when the manifold satisfies gradient almost.
Journal ArticleDOI
Certain types of metrics on almost coKähler manifolds
TL;DR: In this article, it was shown that Bach flat almost coKahler manifold admits Ricci solitons, satisfying the critical point equation (CPE) or Bach flat.
Journal ArticleDOI
∗ -Ricci Tensor on α -Cosymplectic Manifolds
TL;DR: In this paper , the authors studied α-cosymplectic manifold and showed that the Ricci tensor tensor is a semisymmetric manifold, which is an extension of the RICCI tensor.
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Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
V. Rovenski,Dhriti Sundar Patra +1 more
TL;DR: In this article , a geometric classification of Sasakian manifolds that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X) is presented.
References
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Journal ArticleDOI
Ricci Solitons on Almost Co-Kähler Manifolds
TL;DR: In this paper, it was shown that if an almost co-Kahler manifold of dimension greater than three satisfying rigid motions of the Minkowski 2-space can be shown to have a rigid motion.
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A Generalization of the Goldberg Conjecture for CoKähler Manifolds
TL;DR: The Ricci-flat Ricci solitons with the potential vector fields pointwise collinear with the Reeb vector fields on K-almost coKahler manifolds were studied in this article.
Journal ArticleDOI
*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
TL;DR: In this article, it was shown that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is strict infinitesimal contact transformation.
Journal ArticleDOI
Almost Cosymplectic and Almost Kenmotsu (κ, μ, ν)-Spaces
TL;DR: The Riemann curvature tensor of (κ, μ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures was studied in this article.
Journal ArticleDOI
The curvature tensor of almost cosymplectic and almost Kenmotsu (\kappa,\mu,\nu)-spaces
TL;DR: In this article, the Riemann curvature tensor of (kappa,\mu,
u)-spaces was studied when they have almost cosymplectic and almost Kenmotsu structures.