The Vlasov-Poisson System for Stellar Dynamics in Spaces of Constant Curvature

Florin Diacu, Slim Ibrahim, Crystal Lind +1

We obtain a natural extension of the Vlasov-Poisson system for stellar dynamics to spaces of constant Gaussian curvature $\kappa \ne 0$: the unit sphere ${\mathbb{S}}^2$, for $\kappa >0$, and the…