Ancient solutions of geometric flows with curvature pinching
classification
🧮 math.DG
math.AP
keywords
ancientcurvatureflowssolutionsgeometricpinchingcharacterizecodimension
read the original abstract
We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find pinching conditions on the second fundamental form that characterize the shrinking sphere among compact ancient solutions for the mean curvature flow in codimension greater than one, and for some nonlinear curvature flows of hypersurfaces.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.