The Ricci flow on a cylinder
Differential Geometry
2016-04-08 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1604.02132,
title = {The Ricci flow on a cylinder},
author = {Jean Cortissoz and Alexander Murcia},
journal= {arXiv preprint arXiv:1604.02132},
year = {2016}
}
Comments
Comments and criticism more than welcome