Results 131 to 140 of about 274 (160)

CLASSES OF GRADIENT RICCI SOLITONS

International Journal of Geometric Methods in Modern Physics, 2011
We introduce a study of Riemannian manifold M = ℝ2 endowed with a metric of diagonal type of the form [Formula: see text], where g is a positive function, of C∞-class, depending on the variable x2 only. We emphasize the role of metric [Formula: see text] in determining manifolds having negative, null or positive sectional curvature.
Bercu, Gabriel, Postolache, Mihai
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Ricci Solitons and Paracontact Geometry

Mediterranean Journal of Mathematics, 2019
The present paper concerns Ricci solitons in the setting of paracontact metric geometry. A reduction result to Einstein or \(\eta \)-Einstein metrics is obtained in Theorem 10. The \(K\)-paracontact condition yields the expanding character of the soliton and the constancy of the scalar curvature. Also, \((k, \mu )\)-paracontact manifolds are considered.
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CONTACT GEOMETRY AND RICCI SOLITONS

International Journal of Geometric Methods in Modern Physics, 2010
We show that a compact contact Ricci soliton with a potential vector field V collinear with the Reeb vector field, is Einstein. We also show that a homogeneous H-contact gradient Ricci soliton is locally isometric to En+1 × Sn(4). Finally we obtain conditions so that the horizontal and tangential lifts of a vector field on the base manifold may be ...
Cho, Jong Taek, Sharma, Ramesh
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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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RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY COSYMPLECTIC MANIFOLDS

2021
In this article, a number of properties have been obtained by examining Ricci solitons and gradient Ricci solitons on nearly cosymplectic manifolds.
YILDIRIM, Mustafa, AYAR, Gülhan
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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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The Poisson equation on compact Ricci solitons and Ricci-harmonic solitons

Journal of Geometry, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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$K$-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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RICCI SOLITONS

JP Journal of Geometry and Topology, 2020
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Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

International Journal of Geometric Methods in Modern Physics, 2023
Santu Dey
exaly