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We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find conditions on the second fundamental form that characterise the shrinking sphere among compact ancient… Click to show full abstract
We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find conditions on the second fundamental form that characterise the shrinking sphere among compact ancient solutions for the mean curvature flow in codimension two surfaces.
Keywords:
surfaces curvature;
two surfaces;
solutions codimension;
ancient solutions;
codimension two
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2020
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Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2020
Link to full text (if available)
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recommendations!