Singularity structure in mean curvature flow of mean-convex sets-Reference-Cited by-同舟云学术

Singularity structure in mean curvature flow of mean-convex sets

Published:2003-11-26 Issue:15 Volume:9 Page:121-124
ISSN:1079-6762
Container-title:Electronic Research Announcements of the American Mathematical Society
language:en
Short-container-title:Electron. Res. Announc. Amer. Math. Soc.

Author:

Colding Tobias,Kleiner Bruce

Abstract

In this note we announce results on the mean curvature flow of mean-convex sets in three dimensions. Loosely speaking, our results justify the naive picture of mean curvature flow where the only singularities are neck pinches, and components which collapse to asymptotically round spheres.

Publisher

American Mathematical Society (AMS)

Subject

General Mathematics

Reference11 articles.

1. Mathematical Notes;Brakke, Kenneth A.,1978

2. Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations;Chen, Yun Gang;J. Differential Geom.,1991

3. Motion of level sets by mean curvature. I;Evans, L. C.;J. Differential Geom.,1991

4. [HS]huiskensinestrari G. Huisken and C. Sinestrari, in preparation.

5. Convexity estimates for mean curvature flow and singularities of mean convex surfaces;Huisken, Gerhard;Acta Math.,1999

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