Results 71 to 80 of about 1,606,683 (134)
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
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MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
Mancho Manev
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About rigidity of gradient almost Ricci Soliton
, 2017 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESThis work is based on [1] and aims to show a result of rigidity for gradient almost Ricci soliton. We will prove that an almost Ricci soliton gradient with nonnegative scalar curvature,
Gomes, Maria Francisca de Sousa
core
The Z-Tensor on Almost Co-Kählerian Manifolds Admitting Riemann Soliton Structure
Advances in Mathematical PhysicsA 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-
Sunil Kumar Yadav +3 more
doaj +1 more source
On almost η-Ricci-Bourguignon solitons
We investigate a Riemannian manifold with almost η-Ricci-Bourguignon soliton structure. We use the Hodge-de Rham decomposition theorem to make a link with the associated vector field of an almost η-Ricci-Bourguignon soliton.
Traore, Moctar +5 more
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SOME GEOMETRIC PROPERTIES OF h−ALMOST RICCI SOLITONS [PDF]
In this paper, some equations of structure for h-almost Ricci solitons have been investigated and some results have been obtained. It has been shown that for a complete h-almost Ricci soliton, X is not a Reeb vector field when M is a contact Riemannian ...
Ghahremani-Gol, Hajar
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BASIC STRUCTURAL EQUATIONS FOR ALMOST RICCI-HARMONIC SOLITONS AND APPLICATIONS [PDF]
This paper studies gradient almost Ricci-harmonic soliton with respect to a fixed metric. We rely on analytic techniques to estabilish some basic elliptic and integral equations for the structure of almost Ricci-harmonic soliton which generalizes that
Abolarinwa, Abimbola
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, 2020 The classical notion of gradient Ricci soliton is extended here to the gradient Weyl-Ricci soliton. A Weyl structure of the base manifold M is lifted to its tangent bundle TM, by using the Sasaki metric.
Kilic, Erol +2 more
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MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
doaj +1 more source