On the Mean Curvature Flow for $σ_k$-Convex Hypersurfaces

Details On the Mean Curvature Flow for $σ_k$-Convex Hypersurfaces On the Mean Curvature Flow for $σ_k$-Convex Hypersurfaces

2003-06-10

arxiv.org/abs/math/0306177v1

Mathematics

Differential Geometry

to appear in Houston Journal of Mathematics

Scientific paper

We obtain estimates on both size and dimensions of the singular set at the
first blow-up time of the mean curvature flow of hypersurfaces whose initial
data is $\sigma_k$-convex.

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