The mean curvature flow of submanifolds of high codimension
A geometric evolution equation is a partial differential equation that evolves some kind of geometric object in time. The protoype of all parabolic evolution equations is the familiar heat equation. For this reason parabolic geometric evolution equations are also called geometric heat flows or just geometric flows. The heat equation models the physical phenomenon whereby heat diffuses from regions of high temperature to regions of cooler temperature. A defining characteristic of this physical...[Show more]
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