42 citations · 90 across the 15 of their papers we have counts for
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math.DG2014★ 2 cited
Classification of Convex Ancient Solutions to Curve Shortening Flow on the Sphere
Paul Bryan, Janelle Louie
We prove that the only closed, embedded ancient solutions to the curve shortening flow on are equators or shrinking circles, starting at an equator at time $t=-\inft…
math.DG2014
Curvature bounds via an isoperimetric comparison for Ricci flow on surfaces
Paul Bryan
A comparison theorem for the isoperimetric profile on the universal cover of surfaces evolving by normalised Ricci flow is proven. For any initial metric, a model comparison is con…