Results 21 to 30 of about 3,160 (83)

Riemannian maps whose base manifolds admit a Ricci soliton

open access: yes, 2023
In this paper, we study Riemannian maps whose base manifolds admit a Ricci soliton and give a non-trivial example of such a Riemannian map. First, we find Riemannian curvature tensor for the base manifolds of Riemannian map $F$.
Meena, Kiran, Yadav, Akhilesh
core   +1 more source

Effects of Spin-Dependent Polariton-Polariton Interactions in Semiconductor Microcavities: Spin Rings, Bright Spatial Solitons and Soliton Patterns [PDF]

open access: yes, 2013
Semiconductor microcavity polaritons are composite half-light half-matter quasiparticles that arise from strong coupling of photons and excitons in semiconductor microcavities.
Sich, Maksym
core  

Randers Ricci soliton homogeneous nilmanifolds

open access: yes, 2021
Let $F$ be a left-invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left-invariant Riemannian metric $\hat{\boldsymbol{a}}$ and a vector field $X$ which is $I_{\hat{\boldsymbol{a}}}(M)$-invariant.
Salimi Moghaddam, Hamid Reza
core  

$$\eta$$-$$*$$-Ricci solitons and paracontact geometry

open access: yes, 2023
In this paper, we classify ?-*-Ricci solitons in paracontact geometry. In particular, we characterize (2n + 1)-dimensional para-Kenmotsu manifolds having an ?-*-Ricci soliton and 3-dimensional para-Kenmotsu manifolds admitting a gradient ?-*-Ricci ...
Uday Chand De   +5 more
core   +1 more source

f– Kenmotsu Metric as Conformal Ricci Soliton

open access: yes, 2017
In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.
H. G. Nagaraja, K. Venu
core   +2 more sources

Randers Ricci soliton homogeneous nilmanifolds

open access: yes, 2019
Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant.
Moghaddam, Hamid Reza Salimi
core   +1 more source

Soliton-like behaviour in non-integrable systems

open access: yes, 2021
We present a general scheme for constructing robust excitations (soliton-like) in non-integrable multicomponent systems. By robust, we mean localised excitations that propagate with almost constant velocity and which interact cleanly with little to no ...
Urbashi Satpathi (14381664)   +3 more
core   +1 more source

Photoacoustics for Direct Light‐Guiding Inside Transparent and Scattering Media

open access: yesLaser &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   +3 more
wiley   +1 more source

Riemannian submersions whose total manifolds admit a Ricci soliton

open access: yes, 2019
In this paper, we study Riemannian submersions whose total manifolds admit a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton.
Kilic, Erol, Meric, Semsi Eken
core   +1 more source

All two‐dimensional expanding Ricci solitons

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley   +1 more source

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