报告摘要:
| Based on geometric and topological pinching results for compact submanifolds in space forms, we investigate the differentiable pinching problem for compact submanifolds by proving smooth convergence theorems for mean curvature flow of arbitrary codimension with small total curvature. In this talk, I will present some of our results related to this problem. This talk is based on my joint papers with Prof. Kefeng Liu, Prof. Hongwei Xu and Dr. Fei Ye.
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