A planarity estimate for pinched solutions of mean curvature flow
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 $|A|^2 < c |H|^2$ for a suitable constant $c = c(n)$ must be codimension one.
Topics & Concepts
MathematicsMean curvature flowCodimensionCurvatureConstant (computer programming)Planarity testingFlow (mathematics)GeometryMathematical analysisMean curvatureCombinatoricsComputer scienceProgramming languageGeometric Analysis and Curvature FlowsGeometry and complex manifoldsNonlinear Partial Differential Equations