147 citations · 365 across the 33 of their papers we have counts for
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Uniqueness of Instantaneously Complete Ricci flows
Peter M. Topping
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 i…
Ricci flows with bursts of unbounded curvature
Gregor Giesen, Peter M. Topping
Given a completely arbitrary surface, whether or not it has bounded curvature, or even whether or not it is complete, there exists an instantaneously complete Ricci flow evolution…
Bouncing of charged droplets: An explanation using mean curvature flow
Sebastian Helmensdorfer, Peter Topping
Two oppositely charged droplets of (say) water in e.g. oil or air will tend to drift together under the influence of their charges. As they make contact, one might expect them to c…
The Geometry of Differential Harnack Estimates
Sebastian Helmensdorfer, Peter Topping
In this short note, we hope to give a rapid induction for non-experts into the world of Differential Harnack inequalities, which have been so influential in geometric analysis and…