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Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic Manifolds
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In this paper, the authors characterize the gradient Yamabe and the gradient m-quasi Einstein solitons within the framework of three-dimensional cosymplectic manifolds.Abstract:
In this paper, we characterize the gradient Yamabe and the gradient m-quasi Einstein solitons within the framework of three-dimensional cosymplectic manifolds.read more
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Perfect fluid spacetimes and Yamabe solitons
TL;DR: In this paper, it was shown that the Weyl tensor is divergence-free and the potential function of the concircular vector field is pointwise collinear with the velocity vector field of perfect fluid spacetime.
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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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