Ricci flow on the barrel S1 × [−1, 1]

Resumo

We study a boundary value problem for the Ricci flow on a surface with the topological type of the cylinder S¹ × [−1, 1], which we refer to as barrel, and we give estimates on the rates of convergence for the total scalar curvature and the area of the surface at time t. We present a family of examples for which our theorems apply.