Classification of limiting shapes for isotropic curve flows

Author:

Andrews Ben

Abstract

A complete classification is given of curves in the plane which contract homothetically when evolved according to a power of their curvature. Applications are given to the limiting behaviour of the flows in various situations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference23 articles.

1. The normalized curve shortening flow and homothetic solutions;Abresch, U.;J. Differential Geom.,1986

2. Contraction of convex hypersurfaces by their affine normal;Andrews, Ben;J. Differential Geom.,1996

3. Monotone quantities and unique limits for evolving convex hypersurfaces;Andrews, Ben;Internat. Math. Res. Notices,1997

4. Evolving convex curves;Andrews, Ben;Calc. Var. Partial Differential Equations,1998

5. Motion of hypersurfaces by Gauss curvature;Andrews, Ben;Pacific J. Math.,2000

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