28 research outputs found
The Ricci flow on a cylinder
In this paper we study the Ricci flow on surfaces homeomorphic to a cylinder
(that is, a product of the circle with a compact interval). We prove longtime
existence results, results on the asymptotic behavior of the flow, and we
report on an interesting phenomenon: convergence to constant curvature in the
normalised flow,under certain assumptions on the initial data, cannot be
exponential.Comment: Comments and criticism more than welcom