Results 41 to 50 of about 2,617 (107)

η-∗-Ricci Solitons and Almost co-Kähler Manifolds

Mathematics, 2021
The subject of the present paper is the investigation of a new type of solitons, called η-∗-Ricci solitons in (k,μ)-almost co-Kähler manifold (briefly, ackm), which generalizes the notion of the η-Ricci soliton introduced by Cho and Kimura.
Arpan Sardar, Mohammad Nazrul Islam Khan, Uday Chand De   +2 more
doaj   +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

k-Almost Newton-Conformal Ricci Solitons on Hypersurfaces Within Golden Riemannian Manifolds with Constant Golden Sectional Curvature

Axioms
The current work establishes the geometrical bearing for hypersurfaces in a Golden Riemannian manifold with constant golden sectional curvature with respect to k-almost Newton-conformal Ricci solitons.
Amit Kumar Rai, Majid Ali Choudhary, Mohd. Danish Siddiqi, Ghodratallah Fasihi-Ramandi, Uday Chand De, Ion Mihai   +5 more
doaj   +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

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

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

Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms

Advances in Mathematical Physics, 2019
In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci ...
Rongsheng Ma, Donghe Pei
doaj   +1 more source

A New Class of Contact Pseudo Framed Manifolds with Applications

International Journal of Mathematics and Mathematical Sciences, 2021
In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
doaj   +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