Showing 2012Show all
2 papers · 1 filter
math.DG2012
A uniform Poincaré estimate for quadratic differentials on closed surfaces
Melanie Rupflin, Peter M. Topping
We prove a uniform estimate, valid for every closed Riemann surface of genus at least two, that bounds the distance of any quadratic differential to the finite dimensional space of…
math.DG2012
Asymptotics of the Teichmüller harmonic map flow
Melanie Rupflin, Peter M. Topping, Miaomiao Zhu
The Teichmüller harmonic map flow, introduced in [9], evolves both a map from a closed Riemann surface to an arbitrary compact Riemannian manifold, and a constant curvature metric…