Results 71 to 80 of about 2,635 (149)
All two‐dimensional expanding Ricci solitons
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
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European Physical Journal C: Particles and FieldsWe explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi +2 more
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Mathematics, 2019 The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
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Gradient estimate of a Poisson equation under the almost Ricci solitons
Boundary Value Problems, 2022 In this paper, we consider an n-dimensional manifold M n $M^{n}$ endowed with an almost Bakry–Émery Ricci curvature and study a special case of gradient estimate for the positive solutions of Δ u − X . u = f $\Delta u-X.u=f$ , for a smooth function f and
Sakineh Hajiaghasi, Shahroud Azami
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Killing and 2-Killing Vector Fields on Doubly Warped Products
Mathematics, 2023 We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
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Riemann Solitons on Homogeneous Siklos Spacetimes
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we firstly establish a useful ODE relationship between R1(c) and V1(c) on the steady Ricci soliton. Based on this, we obtain a necessary and sufficient condition for some complete noncompact steady gradient Ricci solitons to have positive ...
Gao Xiang
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Ricci solitons on almost Kenmotsu 3-manifolds
Open Mathematics, 2017 Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
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Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi‐Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.This 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. We also present conditions under which the Ricci soliton (Mn, g, ξ, λ) is isometric to Rn.
Vahid Pirhadi +3 more
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On warped product gradient η-Ricci solitons
Filomat, 2017 If the potential vector field of an ?-Ricci soliton is of gradient type, using Bochner formula, we derive from the soliton equation a nonlinear second order PDE. In a particular case of irrotational potential vector field we prove that the soliton is completely determined by f .
openaire +4 more sources