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Singularity structure in mean curvature flow of mean-convex sets
Author(s):
Tobias
H.
Colding;
Bruce
Kleiner
Journal:
Electron. Res. Announc. Amer. Math. Soc.
9
(2003),
121-124.
MSC (2000):
Primary 53C44
Posted:
November 26, 2003
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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.
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Additional Information:
Tobias
H.
Colding
Affiliation:
Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York 10012
Email:
colding@cims.nyu.edu
Bruce
Kleiner
Affiliation:
Department of Mathematics, University of Michigan, 2072 East Hall, 525 E University Avenue, Ann Arbor, Michigan 48109-1109
Email:
bkleiner@umich.edu
DOI:
10.1090/S1079-6762-03-00119-7
PII:
S 1079-6762(03)00119-7
Keywords:
Mean-convex,
mean curvature,
singularities
Received by editor(s):
September 24, 2003
Posted:
November 26, 2003
Additional Notes:
The first author was supported by NSF grant DMS-0104453
The second author was supported by NSF grant DMS-0204506
Communicated by:
Svetlana Katok
Copyright of article:
Copyright
2003,
American Mathematical Society
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