Abstract

CORTISSOZ, JEAN C.  and  MURCIA, ALEXANDER. The Ricci flow on a cylinder. Rev.colomb.mat. [online]. 2017, vol.51, n.2, pp.241-257. ISSN 0034-7426.

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 : Ricci flow; blow-up; convergence.

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