Subsequent singularities of mean convex mean curvature flows in smooth manifolds

作者：Ding, Qi^*

来源：Calculus of Variations and Partial Differential Equations, 2016, 55(1): 4.

DOI：10.1007/s00526-015-0937-8

• SURFACES
• SETS

For any n-dimensional smooth manifold Sigma, we show that all the singularities of the mean curvature flow with any initial mean convex hypersurface in Sigma are cylindrical (of convex type) if the flow converges to a smooth hypersurface M-infinity (maybe empty) at infinity. Previously this was shown (1) for n <= 7, and (2) for arbitrary n up to the first singular time without the smooth condition on M-infinity.

• 出版日期2016-2
• 单位复旦大学