Results 71 to 80 of about 91 (89)

$K$-Ricci-Bourguignon Almost Solitons

International Electronic Journal of Geometry
We in this current article introduce and characterize a $K$-Ricci-Bourguignon almost solitons in perfect fluid spacetimes and generalized Robertson-Walker spacetimes. First, we demonstrate that if a perfect fluid spacetime admits a $K$-Ricci-Bourguignon almost soliton, then the integral curves produced by the velocity vector field are geodesics and the
U.c. De, Krishnendu De
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η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds

International Journal of Geometric Methods in Modern Physics, 2019
In this paper, we study para-Sasakian manifold [Formula: see text] whose metric [Formula: see text] is an [Formula: see text]-Ricci soliton [Formula: see text] and almost [Formula: see text]-Ricci soliton. We prove that, if [Formula: see text] is an [Formula: see text]-Ricci soliton, then either [Formula: see text] is Einstein and in such a case the ...
Naik, Devaraja Mallesha, Venkatesha, V.
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Some results on almost ⁎-Ricci-Bourguignon solitons

Journal of Geometry and Physics, 2022
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Shubham Dwivedi, Dhriti Sundar Patra
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Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

International Journal of Geometric Methods in Modern Physics, 2022
In this paper, we study conformal Ricci soliton and almost conformal Ricci soliton within the framework of paracontact manifolds. Here, we have shown the characteristics of the soliton vector field and the nature of the manifold if para-Sasakian metric satisfies conformal Ricci soliton. We also demonstrate the feature of the soliton vector field V and
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K-contact metrics as Ricci almost solitons

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020
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Ricci almost soliton and almost Yamabe soliton on Kenmotsu manifold

Asian-European Journal of Mathematics, 2020
We prove that a Ricci almost soliton on a Kenmotsu manifold of dimension [Formula: see text] reduces to an expanding Ricci soliton satifying certain condition on the potential vector field or on the soliton function. Next, we show that any Ricci almost soliton on a Kenmotsu manifold is trivial (Einstein) if the soliton vector leaves the contact form ...
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ALMOST CONTACT 3-MANIFOLDS AND RICCI SOLITONS

International Journal of Geometric Methods in Modern Physics, 2012
A Kenmotsu 3-manifold M admitting a Ricci soliton (g, w) with a transversal potential vector field w (orthogonal to the Reeb vector field) is of constant sectional curvature -1. A cosymplectic 3-manifold admitting a Ricci soliton with the Reeb potential vector field or a transversal vector field is of constant sectional curvature 0.
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Ricci Solitons on Almost Co-Kähler Manifolds

Canadian Mathematical Bulletin, 2018
AbstractIn this paper, we prove that if an almost co-Kähler manifold of dimension greater than three satisfying $\unicode[STIX]{x1D702}$-Einstein condition with constant coefficients is a Ricci soliton with potential vector field being of constant length, then either the manifold is Einstein or the Reeb vector field is parallel.
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Certain Contact Metrics as Ricci Almost Solitons

Results in Mathematics, 2013
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Almost $��$-Ricci solitons on Kenmotsu manifolds

2020
In this paper we characterize the Einstein metrics in such broader classes of metrics as almost $ $-Ricci solitons and $ $-Ricci solitons on Kenmotsu manifolds, and generalize some results of other authors. First, we prove that a Kenmotsu metric as an $ $-Ricci soliton is Einstein metric if either it is $ $-Einstein or the potential vector field $V$
Patra, Dhriti Sundar, Rovenski, Vladimir
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