Concepedia

On the saddle point property of Abresch–Langer curves under the curve shortening flow

Thomas Kwok-keung Au

Communications in Analysis and Geometry · 2010 · 15 citations · 9 references

DOIFull text

Open access

Concepts

Abstract

On the saddle point property of Abresch-Langer curves under the curve shortening flow

References

9

The heat equation shrinking convex plane curves

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

, , +7

The heat equation shrinks embedded plane curves to round points

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

, , +6

Shortening Embedded Curves

M. Grayson · Annals of Mathematics · 1989 · 364 citations

The normalized curve shortening flow and homothetic solutions

Uwe Abresch, Joel Langer · Journal of Differential Geometry · 1986 · 312 citations · Full text

, , +2

Parabolic Equations for Curves on Surfaces Part I. Curves with p-Integrable Curvature

Sigurd Angenent · Annals of Mathematics · 1990 · 182 citations

, , +14