Results 51 to 60 of about 28,239 (177)

Some notes on the tangent bundle with a Ricci quarter-symmetric metric connection

AIMS Mathematics, 2023
Let $ (M, g) $ be an $ n $-dimensional (pseudo-)Riemannian manifold and $ TM $ be its tangent bundle $ TM $ equipped with the complete lift metric $ ^{C}g $.
Yanlin Li, A. Gezer, Erkan Karakaş
semanticscholar   +1 more source

∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds

International Journal of Analysis and Applications, 2021
The object of this paper is to study ∗−conformal η−Ricci solitons on α−cosymplectic manifolds. First, α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied.
Abdul Haseeb, D. G. Prakasha, H. Harish
doaj  

Stability and instability of Ricci solitons [PDF]

, 2014
We consider the volume-normalized Ricci flow close to compact shrinking Ricci solitons. We show that if a compact Ricci soliton $(M,g)$ is a local maximum of Perelman's shrinker entropy, any normalized Ricci flow starting close to it exists for all time ...
Kroencke, Klaus
core   +1 more source

Well-separated soliton-antisoliton pairs with an adjoint Higgs field in 4D space [PDF]

, 2023
We present single soliton states and soliton-antisoliton states with an adjoint Higgs field in 4D flat space. The action of a single soliton state diverges, while the action of soliton-antisoliton states converges. This means such solitons can exist in soliton-antisoliton states, although they cannot exist individually.
arxiv   +1 more source

∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds [PDF]

Mathematica Slovaca, 2019
In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ is zero.
Venkatesha Venkatesh, D. Naik, H. Kumara
semanticscholar   +1 more source

Quadratic solitons as nonlocal solitons [PDF]

, 2003
We show that quadratic solitons are equivalent to solitons of a nonlocal Kerr medium. This provides new physical insight into the properties of quadratic solitons, often believed to be equivalent to solitons of an effective saturable Kerr medium. The nonlocal analogy also allows for novel analytical solutions and the prediction of novel bound states of
arxiv   +1 more source

Macroscopic dynamics of incoherent soliton ensembles: soliton-gas kinetics and direct numerical modeling [PDF]

EPL (Europhysics Letters) (2016), Vol. 113, Number 3, p. 30003, 2015
We undertake a detailed comparison of the results of direct numerical simulations of the integrable soliton gas dynamics with the analytical predictions inferred from the exact solutions of the relevant kinetic equation for solitons. We use the KdV soliton gas as a simplest analytically accessible model yielding major insight into the general ...
arxiv   +1 more source

Bright solitons and soliton trains in a fermion-fermion mixture [PDF]

Eur. Phys. J. D 40 (2006) 157-160, 2007
We use a time-dependent dynamical mean-field-hydrodynamic model to predict and study bright solitons in a degenerate fermion-fermion mixture in a quasi-one-dimensional cigar-shaped geometry using variational and numerical methods. Due to a strong Pauli-blocking repulsion among identical spin-polarized fermions at short distances there cannot be bright ...
arxiv   +1 more source

Soliton-type metrics and K\"ahler-Ricci flow on symplectic quotients [PDF]

, 2009
In this paper, we first show an interpretation of the Kahler-Ricci flow on a manifold $X$ as an exact elliptic equation of Einstein type on a manifold $M$ of which $X$ is one of the (Kahler) symplectic reductions via a (non-trivial) torus action.
G. Nave, G. Tian
semanticscholar   +1 more source

Soliton-Type Equations on a Riemannian Manifold

Mathematics, 2022
We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sphere.
Nasser Bin Turki, A. Blaga, Sharief Deshmukh   +2 more
semanticscholar   +1 more source