A comparison theorem for the isoperimetric profile under curve-shortening flow

The heat equation shrinking convex plane curves

Michael E. Gage, Richard S. Hamilton · Journal of Differential Geometry · 1986 · 1.2K citations · Full text

Natural Sciences, Physics, Thermodynamics +7

The heat equation shrinks embedded plane curves to round points

M. Grayson · Journal of Differential Geometry · 1987 · 1K citations · Full text

Engineering, Mechanical Engineering, Heat Transfer +6

Mean Curvature Evolution of Entire Graphs

Klaus Ecker, Gerhard Huisken · Annals of Mathematics · 1989 · 433 citations · Full text

Computing, Visualization, Graph Visualization +11

Curve shortening makes convex curves circular

Michael E. Gage · Inventiones mathematicae · 1984 · 287 citations

Natural Sciences, Orthodontics, Axis Formation +2

An isoperimetric inequality with applications to curve shortening

Michael E. Gage · Duke Mathematical Journal · 1983 · 216 citations

Natural Sciences, Earth Sciences, Computational Geometry +5