Results 41 to 50 of about 143 (108)
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
wiley +1 more source
Almost Ricci-Yamabe Soliton on Contact Metric Manifolds
, 2022 We consider almost Ricci-Yamabe soliton in the context of certain contact metric manifolds. Firstly, we prove that if the metric $g$ admits an almost $(\alpha,\beta)$-Ricci-Yamabe soliton with $\alpha\neq 0$ and potential vector field collinear with the ...
Khatri, Mohan, Singh, Jay Prakash
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Ricci‐Bourguignon Solitons With Certain Applications to Relativity
Journal of Mathematics, Volume 2025, Issue 1, 2025.This 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. First, we deduce the criterion for which the Ricci‐Bourguignon soliton in a perfect fluid space‐time is steady, expanding or shrinking. Then, we establish that if a
Krishnendu De +4 more
wiley +1 more source
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
wiley +1 more source
GRADIENT SOLITONS ON DOUBLY WARPED PRODUCT MANIFOLDS
, 2022 Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons such as Riemann, Ricci, Yamabe and conformal, and examine the effect of a gradient soliton on a doubly warped product to its
Blaga, Adara m., Tastan, Hakan m.
core +1 more source
2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly +3 more
wiley +1 more source
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley +1 more source
Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
wiley +1 more source
Mathematica Slovaca, 2023 Abstract We consider a Riemannian manifold (M,g) admitting a concurrent-recurrent vector field for which the metric g is a Yamabe soliton or a τ-quasi Yamabe gradient soliton. We show that if the metric of a Riemannian three-manifold (M, g) admitting a concurrent-recurrent vector field is a Yamabe soliton, then M is of constant negative ...
Naik, Devaraja Mallesha +3 more
openaire +1 more source
Generalized quasi Yamabe gradient solitons
Differential Geometry and its Applications, 2016 We prove that a nontrivial complete generalized quasi Yamabe gradient soliton (M; g) must be a quasi Yamabe gradient soliton on each connected component of M and that a nontrivial complete locally conformally at generalized quasi Yamabe gradient soliton has a special warped product structure.
Leandro Neto, Benedito +1 more
openaire +2 more sources