Results 41 to 50 of about 8,119 (142)

Almost Pure Metric Plastic Structures and Ricci Solitons on Four‐Dimensional Pseudo‐Riemannian Manifolds

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates four‐dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures. We begin by defining these structures through characteristic algebraic identities and present explicit matrix realizations that capture their essential geometric features.
Aydin Gezer, Sedanur Ucan, Cagri Karaman, Abdul Rauf Khan   +3 more
wiley   +1 more source

Almost Ricci soliton and gradient almost ricci soliton on 3-dimensional normal almost contact metric manifolds

Novi Sad Journal of Mathematics, 2018
Summary: The object of the present paper is to study almost Ricci solitons and gradient almost Ricci solitons in 3-dimensional non-cosymplectic normal almost contact metric manifolds.
openaire   +1 more source

Ricci solitons in almost $f$-cosymplectic manifolds [PDF]

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2018
We correct the Theorem 1.1 and its ...
openaire   +4 more sources

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, Amirhesam Zaeim, Adele Alemahdi, Erhan Güler   +3 more
wiley   +1 more source

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, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li, Pramita Mishra   +4 more
wiley   +1 more source

On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime

Acta et commentationes Universitatis Tartuensis de mathematica
The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically.
S. Pahan
semanticscholar   +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, Ghodratallah Fasihi-Ramandi, Shahroud Azami, Pramita Mishra   +3 more
wiley   +1 more source

Almost ∗-Ricci Soliton on α-paraSasakian Manifold

International Journal of Analysis and Applications
It has been noted that if the ∗-Ricci tensor used to define ∗-Ricci soliton is a constant multiple of the metric tensor g(ei,ej), for all ei, ej orthogonal to characteristic vector field ξ, then the manifold is ∗-Einstein manifold.
K. Sood, K. Srivastava, S. Srivastava, Mohammad Nazrul Islam Khan   +3 more
semanticscholar   +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, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi, Antonio Masiello   +3 more
wiley   +1 more source

Uniqueness of Ricci flows from non‐atomic Radon measures on Riemann surfaces

Proceedings of the London Mathematical Society, Volume 128, Issue 6, June 2024.
Abstract In previous work (Topping and Yin, https://arxiv.org/abs/2107.14686), we established the existence of a Ricci flow starting with a Riemann surface coupled with a non‐atomic Radon measure as a conformal factor. In this paper, we prove uniqueness, settling Conjecture 1.3 of Topping and Yin (https://arxiv.org/abs/2107.14686).
Peter M. Topping, Hao Yin
wiley   +1 more source