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

2013/09/12 by Robert Haslhofer, Bruce Kleiner, Haslhofer, Robert +1 · 3 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1309.3231

4 pages

arxiv created 2013/09/12 · arxiv updated 2013/09/13

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+δ)H) at all points with H > C(δ,M₀). 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.

Cited by

• Mean curvature flow through singularities
• Noncollapsing for Curvature Flows with Inhomogeneous Speeds
• Planarity and convexity for pinched ancient solutions of mean curvature flow

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