### 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 language | English (US) |
---|---|

Pages (from-to) | 121-124 |

Number of pages | 4 |

Journal | Electronic Research Announcements of the American Mathematical Society |

Volume | 9 |

DOIs | |

State | Published - 2003 |

### Fingerprint

### 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.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Singularity structure in mean curvature flow of mean-convex sets

AU - Colding, Tobias H.

AU - Kleiner, Bruce

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

KW - Mean curvature

KW - Mean-convex

KW - Singularities

UR - http://www.scopus.com/inward/record.url?scp=15944371032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=15944371032&partnerID=8YFLogxK

U2 - 10.1090/S1079-6762-03-00119-7

DO - 10.1090/S1079-6762-03-00119-7

M3 - Article

VL - 9

SP - 121

EP - 124

JO - Electronic Research Announcements in Mathematical Sciences

JF - Electronic Research Announcements in Mathematical Sciences

SN - 1935-9179

ER -