Results 81 to 89 of about 91 (89)

Yamabe Solitons and Ricci Solitons on Almost co-Kähler Manifolds

Canadian Mathematical Bulletin, 2019
AbstractThe object of this paper is to study Yamabe solitons on almost co-Kähler manifolds as well as on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds. We also study Ricci solitons on $(k,\unicode[STIX]{x1D707})$-almost co-Kähler manifolds.
Suh, Young Jin, De, Uday Chand
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Almost Ricci solitons and $$K$$ K -contact geometry

Monatshefte für Mathematik, 2014
There are two theorems in this paper, both pertaining to almost Ricci solitons. The first one is actually a theorem of \textit{A. Barros} et al. [Monatsh. Math. 174, No. 1, 29--39 (2014; Zbl 1296.53092)] stating that a compact almost Ricci soliton with constant scalar curvature is gradient and isometric to a Euclidean sphere.
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Almost Ricci solitons isometric to spheres

International Journal of Geometric Methods in Modern Physics, 2019
We find a characterization of a sphere using a compact gradient almost Ricci soliton and the lower bound on the integral of Ricci curvature in the direction of potential field. Also, we use Poisson equation on a compact gradient almost Ricci soliton to find a characterization of the unit sphere.
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Ricci almost solitons and contact geometry

Advances in Geometry, 2019
Abstract We prove that on a K-contact manifold, a Ricci almost soliton is a Ricci soliton if and only if the potential vector field V is a Jacobi field along the Reeb vector field ξ. Then we study contact metric as a Ricci almost soliton with parallel Ricci tensor.
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From Ricci Soliton to Almost Contact Metric Structures

International Electronic Journal of Geometry
In this paper, we construct almost contact metric structures on a three-dimensional Riemannian manifold equipped with an almost Ricci soliton. Then, we give the techniques necessary to define the nature of such structures. Concrete examples are given.
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Spacetimes and Almost Ricci-Yamabe Solitons

This article investigates almost Ricci-Yamabe solitons and gradient almost Ricci-Yamabe solitons in spacetimes. Initially, we demonstrate that if a spacetime allows an almost Ricci-Yamabe soliton with a conformal vector field as potential vector field, then the spacetime turns into an Einstein spacetime.
Baidya, Ansari Rakesh, De, U.c., De, Krishnendu   +2 more
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On almost square Ricci solitons

The Journal of Geometric Analysis
Mingzhu Wang, Qiaoling Xia
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Almost Ricci soliton in Q{mandlowast;}

2023
Faraji, Hamed, Azami, Shahroud
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Almost Ricci Solitons and Physical Applications

2017
In this paper, we establish a link between a “curvature inheritance symmetry" of a semi-Riemannianmanifold and a class of almost Ricci solitons(ARS). In support of this link we present threemathematical models of conformally flat ARS-manifolds. As an application to relativity, byinvestigating the kinematic and dynamic properties of ARS-spacetimes ...
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