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On Brendle's estimate for the inscribed radius under mean curvature flow

Differential Geometry 2013-09-13 v1

Abstract

In a recent paper, Brendle proved that the inscribed radius of closed embedded mean convex hypersurfaces moving by mean curvature flow is at least 1/((1+\delta)H) at all points with H > C(\delta,M_0). In this note, we give a shorter proof of Brendle's estimate, and of a more general result for alpha-Andrews flows, based on our recent estimates from Haslhofer-Kleiner.

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Cite

@article{arxiv.1309.3231,
  title  = {On Brendle's estimate for the inscribed radius under mean curvature flow},
  author = {Robert Haslhofer and Bruce Kleiner},
  journal= {arXiv preprint arXiv:1309.3231},
  year   = {2013}
}

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4 pages