4 citations · 4 across the 3 of their papers we have counts for
5 papers
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…
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…
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…
Decay estimates for Rivière's equation, with applications to regularity and compactness
Ben Sharp, Peter Topping
We derive a selection of energy estimates for a generalisation of a critical equation on the unit disc in introduced by Rivière. Applications include sharp regularit…
Uniqueness and nonuniqueness for Ricci flow on surfaces: Reverse cusp singularities
Peter Topping
We extend the notion of what it means for a complete Ricci flow to have a given initial metric, and consider the resulting well-posedness issues that arise in the 2D case. On one h…