Keaton Naff
Abstract
We show that the blow-ups of compact solutions to the mean curvature flow in $\mathbb{R}^N$ initially satisfying the pinching condition $|H| > 0$ and $|A|^2 < c |H|^2$ for some suitable constant $c = c(n)$ must be codimension one.
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We show that the blow-ups of compact solutions to the mean curvature flow in $\mathbb{R}^N$ initially satisfying the pinching condition $|H| > 0$ and $|A|^2 < c |H|^2$ for some suitable constant $c = c(n)$ must be codimension one.
Key concepts: Codimension, Mean curvature flow, Curvature, Mathematics, Flow (mathematics), Constant (computer programming), Mathematical analysis, Geometry