3 papers
math.DG2021
Local convexity estimates for mean curvature flow
Mat Langford
We develop a local version of Huisken-Stampacchia iteration, using it to obtain local versions of a host of important sharp curvature pinching estimates for mean curvature flow. Th…
math.DG2020
Sharp pinching estimates for mean curvature flow in the sphere
Mat Langford, Huy The Nguyen
We prove a suite of asymptotically sharp quadratic curvature pinching estimates for mean curvature flow in the sphere which generalize Simons' rigidity theorem for minimal hypersur…
math.DG2020
Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery
Mat Langford, Huy The Nguyen
We study mean curvature flow in , the round sphere of sectional curvature , under the quadratic curvature pinching condition $|A|^{2} < \frac{1}{n-2} H^{2}…