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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}…
math.AP2020★ 2 cited
Concavity of solutions to degenerate elliptic equations on the sphere
Mat Langford, Julian Scheuer
We prove the concavity of classical solutions to a wide class of degenerate elliptic differential equations on strictly convex domains of the unit sphere. The proof employs a suita…