147 citations · 365 across the 33 of their papers we have counts for
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math.DG2017★ 5 cited
Global weak solutions of the Teichmüller harmonic map flow into general targets
Melanie Rupflin, Peter M. Topping
We analyse finite-time singularities of the Teichmüller harmonic map flow -- a natural gradient flow of the harmonic map energy -- and find a canonical way of flowing beyond them i…
math.DG2017★ 31 cited
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces
Miles Simon, Peter M. Topping
We use Ricci flow to obtain a local bi-Holder correspondence between Ricci limit spaces in three dimensions and smooth manifolds. This is more than a complete resolution of the thr…