A Liouville Theorem for Mean Curvature Flow
classification
🧮 math.DG
keywords
ancientcurvaturemeansolutionstheoremargumentarisebetter
read the original abstract
Ancient solutions arise in the study of parabolic blow-ups. If we can categorize ancient solutions, we can better understand blow-up limits. Based on an argument of Giga and Kohn, we give a Liouville-type theorem restricting ancient, type-I, non-collapsing two- dimensional mean curvature flows to either spheres or cylinders.
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