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math.DG2012★ 14 cited
Mean curvature flow of higher codimension in Riemannian manifolds
Kefeng Liu, Hongwei Xu, Entao Zhao
We investigate the convergence of the mean curvature flow of arbitrary codimension in Riemannian manifolds with bounded geometry. We prove that if the initial submanifold satisfies…
math.DG2012★ 5 cited
Deforming submanifolds of arbitrary codimension in a sphere
Kefeng Liu, Hongwei Xu, Entao Zhao
In this paper, we prove some convergence theorems for the mean curvature flow of closed submanifolds in the unit sphere under integral curvature conditions. As a…