22 citations · 52 across the 20 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.DG2015★ 11 cited
Smooth long-time existence of Harmonic Ricci Flow on surfaces
Reto Buzano, Melanie Rupflin
We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain mani…
math.DG2015
Refined asymptotics of the Teichmüller harmonic map flow into general targets
Tobias Huxol, Melanie Rupflin, Peter M. Topping
The Teichmüller harmonic map flow is a gradient flow for the harmonic map energy of maps from a closed surface to a general closed Riemannian target manifold of any dimension, wher…
math.AP2015
Teichmüller harmonic map flow from cylinders
Melanie Rupflin
We define a geometric flow that is designed to change surfaces of cylindrical type spanning two disjoint boundary curves into solutions of the Douglas-Plateau problem of finding mi…