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math.DG2019★ 2 cited
Ancient Solution of Mean Curvature Flow in Space Forms
Li Lei, Hongwei Xu, Entao Zhao
In this paper we investigate the rigidity of ancient solutions of the mean curvature flow with arbitrary codimension in space forms. We first prove that under certain sharp asympto…
math.DG2019
The topological rigidity theorem for submanifolds in space forms
Juanru Gu, Hongwei Xu
Let be an -dimensional compact submanifold in the simply connected space form with constant curvature , where is the mean curvature of .…