Mean curvature flows and isotopy problems

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10037

Surveys in di erential geometry, 18, 2013
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.
Mean curvature flows, isotopy problems, non-linear parabolic system
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  title={Mean curvature flows and isotopy problems},
  author={Mu-Tao Wang},
  booktitle={Surveys in dierential geometry},
Mu-Tao Wang. Mean curvature flows and isotopy problems. 2013. Vol. 18. In Surveys in di erential geometry.
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