Curve shortening makes convex curves circular

@article{Gage1984CurveSM,
  title={Curve shortening makes convex curves circular},
  author={Michael E. Gage},
  journal={Inventiones mathematicae},
  year={1984},
  volume={76},
  pages={357-364}
}
  • M. Gage
  • Published 1 June 1984
  • Mathematics
  • Inventiones mathematicae
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Convex Sets and Their Applications
Fundamentals. Hyperplanes. Helly-Type Theorems. Kirchberger-Type Theorems. Special Topics in E2. Families of Convex Sets. Characterizations of Convex Sets. Polytopes. Duality. Optimization. ConvexExpand
BONNESEN-STYLE ISOPERIMETRIC INEQUALITIES
Because of Property 1, any Bonnesen inequality implies the isoperimetric inequality (1). From Property 2, it follows that equality can hold in (1) only when C is a circle. The effect of Property 3 isExpand