Mean curvature flows and isotopy problems
Differential Geometry
2012-04-05 v1 Analysis of PDEs
Abstract
In this note, we discuss the mean curvature flow of graphs of maps between Riemannian manifolds. Special emphasis will be placed on estimates of the flow as a non-linear parabolic system of differential equations. Several global existence theorems and applications to isotopy problems in geometry and topology will be presented. The results are based on joint works of the author with his collaborators I. Medo\v{s}, K. Smoczyk, and M.-P. Tsui.
Cite
@article{arxiv.1204.0841,
title = {Mean curvature flows and isotopy problems},
author = {Mu-Tao Wang},
journal= {arXiv preprint arXiv:1204.0841},
year = {2012}
}
Comments
10 pages, contribution to "Survey in Differential Geometry"