Singularity structure in mean curvature flow of mean-convex sets

Tobias H. Colding; Bruce Kleiner

doi:10.1090/S1079-6762-03-00119-7

Singularity structure in mean curvature flow of mean-convex sets

Tobias H. Colding, Bruce Kleiner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we announce results on the mean curvature ow of mean-convex sets in three dimensions. Loosely speaking, our results justify the naive picture of mean curvature ow 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
Issue number	15
DOIs	https://doi.org/10.1090/S1079-6762-03-00119-7
State	Published - Nov 26 2003

Keywords

Mean curvature
Mean-convex
Singularities

ASJC Scopus subject areas

General Mathematics

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10.1090/S1079-6762-03-00119-7

Cite this

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title = "Singularity structure in mean curvature flow of mean-convex sets",

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

keywords = "Mean curvature, Mean-convex, Singularities",

author = "Colding, {Tobias H.} and Bruce Kleiner",

year = "2003",

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doi = "10.1090/S1079-6762-03-00119-7",

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AU - Kleiner, Bruce

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N2 - In this note we announce results on the mean curvature ow of mean-convex sets in three dimensions. Loosely speaking, our results justify the naive picture of mean curvature ow 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 ow of mean-convex sets in three dimensions. Loosely speaking, our results justify the naive picture of mean curvature ow where the only singularities are neck pinches, and components which collapse to asymptotically round spheres.

KW - Mean curvature

KW - Mean-convex

KW - Singularities

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JO - Electronic Research Announcements of the American Mathematical Society

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Singularity structure in mean curvature flow of mean-convex sets

Abstract

Keywords

ASJC Scopus subject areas

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