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The affine curve-lengthening flow
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Ben Andrews
Published/Copyright:
June 11, 2008
Abstract
The motion of any smooth closed convex curve in the plane in the direction of steepest increase of its affine arc length can be continued smoothly for all time. The evolving curve remains strictly convex while expanding to infinite size and approaching a homothetically expanding ellipse.
Received: 1997-11-14
Published Online: 2008-06-11
Published in Print: 1999-01-15
© Walter de Gruyter
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- The affine curve-lengthening flow
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Articles in the same Issue
- Le problème de Brill-Noether pour des fibrés stables de petite pente
- The affine curve-lengthening flow
- Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres
- Analytic functions on Zariski open sets, and local cohomology
- Projective normality and syzygies of algebraic surfaces
- The outer derivation of a complex Poisson manifold
- Nevanlinna-Pick interpolation on the bidisk
- The isoperimetric inequality for minimal surfaces in a Riemannian manifold
- Values of symmetric square L-functions at 1
