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
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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.
Journal ArticleDOI
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
Three-manifolds with positive Ricci curvature
Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.