Riemann solitons are generalized fixed points of the flow. In this note, we study left-invariant on three-dimensional Lorentzian Lie groups. We completely classify

Let $F$ be a left invariant Randers metric on simply connected nilpotent Lie group $N$, induced by Riemannian ${\hat{\textbf{\textit{a}}}}$ and vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant. If the Ricci flow equation has unique solution then, $(N,F)$ soliton if only semialgebraic soliton.

Ulam’s method is a rigorous numerical scheme for approximating invariant densities of dynamical systems. The phase space is partitioned into connected sets and an inter-set transition matrix is computed from the dynamics; an approximate invariant density is read off as the leading left eigenvector of this matrix. When a hole in phase space is introduced, one instead searches for conditional inv...

one of the important factors which should be considered in (coronary artery disease) cad cases is increased carotid intima-media thickness (imt) which has been considered to be associated with coronary artery disease severity and cardiovascular events. the goal of this study was to compare risk factors and carotid imt in cases with cad and healthy subjects and to determine the association betwe...