Singularity structure in mean curvature flow of mean-convex sets

Tobias H. Colding, Bruce Kleiner

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)121-124
Number of pages4
JournalElectronic Research Announcements of the American Mathematical Society
Volume9
DOIs
StatePublished - 2003

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Mean Curvature Flow
Convex Sets
Singularity
Justify
Three-dimension

Keywords

  • Mean curvature
  • Mean-convex
  • Singularities

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Singularity structure in mean curvature flow of mean-convex sets. / Colding, Tobias H.; Kleiner, Bruce.

In: Electronic Research Announcements of the American Mathematical Society, Vol. 9, 2003, p. 121-124.

Research output: Contribution to journalArticle

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