A Study of the Inverse Mean Curvature Flow
Date Issued
2015
Date
2015
Author(s)
Chen, Pang-Yen
Abstract
In this thesis, we study the behavior of the motion of hypersurfaces by their inverse mean curvature flow (abbreviated as IMCF) in the rotational symmetric space with reasonable condition on its curvatures. In particular, we give a detailed analysis about the long time existence and the asymptotic behavior of the IMCF when the initial surface is closed star-shaped and mean-convex. We also present an application of the IMCF to the proof of the isoperimetric inequality for quermassintegrals of mean-convex star-shaped domains in Euclidean space.
Subjects
Inverse Mean Curvature Flow
Type
thesis
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ntu-104-R01221014-1.pdf
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