Results 11 to 20 of about 277 (148)
Journal of MathematicsAn η-Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology.
B. B. Chaturvedi +2 more
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Ricci-Bourguignon Solitons With Certain Applications to Relativity
Journal of MathematicsThis article concerns with the investigation of Ricci-Bourguignon solitons and gradient Ricci-Bourguignon solitons in perfect fluid space-times and generalised Robertson–Walker space-times.
Krishnendu De +3 more
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Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type
Journal of MathematicsThis paper is devoted to Ricci solitons admitting a Jacobi-type vector field. First, we present some rigidity results for Ricci solitons Mn,g,V,λ admitting a Jacobi-type vector field ξ and provide conditions under which ξ is Killing.
Vahid Pirhadi +2 more
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LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime
Journal of Mathematics, 2022 In the present paper, LP-Kenmotsu manifolds admitting η-Ricci solitons have been studied. Moreover, some results for η-Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity have also been proved.
Yanlin Li, Abdul Haseeb, Musavvir Ali
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ON HOMOGENEOUS RICCI SOLITONS [PDF]
The Quarterly Journal of Mathematics, 2013 We study the evolution of homogeneous Ricci solitons under the bracket flow, a dynamical system on the space of all homogeneous spaces of dimension n with a q-dimensional isotropy, which is equivalent to the Ricci flow for homogeneous manifolds. We prove that algebraic solitons (i.e.
Lafuente, R., Lauret, J.
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Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy [PDF]
ریاضی و جامعه, 2022 In this paper, we first consider $4D$ conformally flat homogeneous pseudo-Riemannian space with trivial isotropy, then, we investigate some geometrical properties such as being Ricci solitons and Walker on the spaces under consideration.
Yadollah Aryanejad
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∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds [PDF]
Mathematica Slovaca, 2019 Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if M admits a *-Ricci soliton, then we show that M is of constant sectional curvature –1. Next, we show that if M admits a
Venkatesh, Venkatesha +2 more
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Results of Hyperbolic Ricci Solitons
Symmetry, 2023 We obtain some properties of a hyperbolic Ricci soliton with certain types of potential vector fields, and we point out some conditions when it reduces to a trivial Ricci soliton. We also study those soliton submanifolds whose vector fields are the tangential components of a concurrent vector field on the ambient manifold, and in particular, we show ...
Adara M. Blaga, Cihan Özgür
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Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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A Note on Kahler-Ricci Soliton [PDF]
International Mathematics Research Notices, 2009 In this note we provide a proof of the following: Any compact KRS with positive bisectional curvature is biholomorphic to the complex projective space. As a corollary, we obtain an alternative proof of the Frankel conjecture by using the Kähler-Ricci flow.
Chen, Xiuxiong, Sun, Song, Tian, Gang
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