Results 91 to 100 of about 7,482 (208)
Hyperbolic Ricci solitons on perfect fluid spacetimes
AIMS MathematicsIn the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons.
Shahroud Azami +3 more
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Homogeneous Ricci Solitons in Low Dimensions [PDF]
International Mathematics Research Notices, 2014 20 pages, 3 tables; Appendix by Jorge ...
Arroyo, Romina M., Lafuente, Ramiro
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A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
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Conformally Flat Siklos Metrics Are Ricci Solitons
Axioms, 2020 We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
Giovanni Calvaruso
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Special Kähler–Ricci potentials and Ricci solitons [PDF]
Annals of Global Analysis and Geometry, 2008 On a manifold of dimension at least six, let $(g, )$ be a pair consisting of a K hler metric g which is locally K hler irreducible, and a nonconstant smooth function $ $. Off the zero set of $ $, if the metric $\hat{g}=g/ ^2$ is a gradient Ricci soliton which has soliton function $1/ $, we show that $\hat{g}$ is K hler with respect to another ...
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Ricci solitons: the equation point of view [PDF]
manuscripta mathematica, 2008 We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. Some simple proofs of known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by considering the dynamic properties of the Ricci flow.
MANOLO EMINENTI +2 more
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The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav +4 more
wiley +1 more source
Ricci solitons on singly warped product manifolds and applications
, 2019 TThe purpose of this article is to study the inheritance properties of Ricci soliton warped product manifolds by their factor manifolds. First, it is proved that being a Ricci soliton is an inheritance property.
Shenawy, Sameh
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Solitonic effect on relativistic string cloud spacetime attached with strange quark matter
AIMS MathematicsIn this research paper, we discussed some geometric axioms of a relativistic string cloud spacetime attached with strange quark matter. We determined the conformal $ \eta $-Ricci soliton on a relativistic string cloud spacetime attached with strange ...
Yanlin Li +4 more
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∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds
International Journal of Analysis and Applications, 2021 The object of this paper is to study ∗−conformal η−Ricci solitons on α−cosymplectic manifolds. First, α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied.
Abdul Haseeb, D. G. Prakasha, H. Harish
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