Journal ArticleDOI
A note on almost co-Kähler manifolds
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In this paper, it was shown that the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradieness of a quasi-Yamabe solitons.Abstract:
We characterize almost co-Kahler manifolds with gradient Yamabe, gradient Einstein and quasi-Yamabe solitons. It is proved that if the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradien...read more
Citations
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Invariant submanifolds of hyperbolic Sasakian manifolds and η-Ricci-Bourguignon solitons
TL;DR: In this paper , the authors studied the properties of invariant submanifolds of hyperbolic Sasakian manifolds and proved that a 3D invariant Submanifold of a 5D hyperskakian manifold is geodesic if and only if it is invariant.
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r-Almost Newton–Ricci solitons on Legendrian submanifolds of Sasakian space forms
TL;DR: In this paper, the geometrical bearing on Legendrian submanifolds of Sasakian space forms in terms of r-almost Newton-Ricci solitons with the potential function was established.
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Riemann solitons on almost co-Kähler manifolds
TL;DR: In this article , it was shown that if the metric of an almost co-K?hler manifold is a Riemann soliton with the soliton vector field, then the manifold is flat.
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A Note on Gradient Solitons in Three-Dimensional Riemannian Manifolds
TL;DR: In this paper, the authors charecterize three-dimensional Riemannian manifolds endowed with a special type of vector field if the metrices are gradient Yamabe solitons and gradient Eigen-Solitons respectively.
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Almost Cosymplectic $$(k,\mu )$$ ( k , μ ) -metrics as $$\eta$$ η -Ricci Solitons
TL;DR: In this paper, the Ricci solitons on almost cosymplectic manifold were studied and it was shown that the potential vector field is a strict infinitesimal contact transformation.
References
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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.
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On differentiable manifolds with certain structures which are closely related to almost contact structure i
TL;DR: In this article, the fundamental collineation of the almost complex structure of differentiable manifold with almost complex structures has been studied, where the set of manifold with complex structures is wider than the set with complex structure.
Journal ArticleDOI
Integrability of almost cosymplectic structures
Samuel I. Goldberg,Kentaro Yano +1 more