Smooth compactness of self-shrinkers

Details Smooth compactness of self-shrinkers Smooth compactness of self-shrinkers

2009-07-15

arxiv.org/abs/0907.2594v1

Mathematics

Differential Geometry

Scientific paper

We prove a smooth compactness theorem for the space of embedded
self-shrinkers in $\RR^3$. Since self-shrinkers model singularities in mean
curvature flow, this theorem can be thought of as a compactness result for the
space of all singularities and it plays an important role in studying generic
mean curvature flow.

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