Uniqueness of instantaneously complete Ricci flows

Peter M Topping

doi:10.2140/gt.2015.19.1477

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Home > Journals > Geom. Topol. > Volume 19 > Issue 3 > Article

2015 Uniqueness of instantaneously complete Ricci flows

Peter M Topping

Geom. Topol. 19(3): 1477-1492 (2015). DOI: 10.2140/gt.2015.19.1477

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Abstract

We prove uniqueness of instantaneously complete Ricci flows on surfaces. We do not require any bounds of any form on the curvature or its growth at infinity, nor on the metric or its growth (other than that implied by instantaneous completeness). Coupled with earlier work, this completes the well-posedness theory for instantaneously complete Ricci flows on surfaces.