Results 21 to 30 of about 91 (89)

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

Curvature and Solitonic Structures of Para‐Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Murat Altunbaş   +3 more
wiley   +1 more source

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +1 more source

Photoacoustics for Direct Light‐Guiding Inside Transparent and Scattering Media

Laser &Photonics Reviews, Volume 19, Issue 8, April 17, 2025.
A novel method for guiding light in transparent and scattering media without external components is presented. A pulsed laser and absorptive material generate photoacoustic pressure waves within the medium, creating refractive index gradients for sub‐microsecond light guiding.
Pietro Ricci, Mateu Colom, Blanca Mestre‐Torà, Martí Duocastella   +3 more
wiley   +1 more source

On a Class of Gradient Almost Ricci Solitons [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2020
In this study, we provide some classifications for half-conformally flat gradient $f$-almost Ricci solitons, denoted by $(M, g, f)$, in both Lorentzian and neutral signature. First, we prove that if $||\nabla f||$ is a non-zero constant, then $(M, g, f)$ is locally isometric to a {warped product} of the form $I \times_ N$, where $I \subset \mathbb{R}$
openaire   +2 more sources

Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The present article intends to study the ∗‐conformal η‐Ricci soliton on n‐LPK (n‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n‐LPK, we derive certain results of ∗‐conformal η‐Ricci soliton satisfying the Codazzi‐type equation, R(ξ, L) · S = 0, the projective flatness of the n‐LPK manifold. At last, we conclude with an
Shyam Kishor, Arun Kumar Bhardwaj, Naveen Mani, Rahul Shukla, Arpan Hazra   +4 more
wiley   +1 more source

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