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Mean curvature flow of arbitrary codimension in spheres and sharp differentiable sphere theorem (1506.06371v3)
Published 21 Jun 2015 in math.DG
Abstract: In this paper, we investigate Liu-Xu-Ye-Zhao's conjecture [30] and prove a sharp convergence theorem for the mean curvature flow of arbitrary codimension in spheres which improves the convergence theorem of Baker [2] as well as the differentiable sphere theorems of Gu-Xu-Zhao [16, 50, 52].