Susanna Risa, Carlo Sinestrari
Published 2017-10-01Version 1
We prove rigidity theorems for ancient solutions of some classes of geometric flows of immersions satisfying a pinching condition. Specifically, we obtain characterizations of the sphere for the mean curvature flow of submanifolds having codimension greater than one and for nonlinear curvature flows of hypersurfaces with high degree of homogeneity in the curvatures.
On the classification of ancient solutions to curvature flows on the sphere
A Bernstein theorem of ancient solutions to mean curvature flow
Convex solutions to the mean curvature flow
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