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Showing 2011 · math.DGShow all
3 papers · 2 filters
math.DG2011★ 6 cited
Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces
Kefeng Liu, Hongwei Xu, Fei Ye +1
In this paper we investigate the convergence for the mean curvature flow of closed submanifolds with arbitrary codimension in space forms. Particularly, we prove that the mean curv…
math.DG2011★ 13 cited
The extension and convergence of mean curvature flow in higher codimension
Kefeng Liu, Hongwei Xu, Fei Ye +1
In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension , which gen…
math.DG2011★ 1 cited
On Yau rigidity theorem for minimal submanifolds in spheres
Juan-Ru Gu, Hong-Wei Xu
In this note, we investigate the well-known Yau rigidity theorem for minimal submanifolds in spheres. Using the parameter method of Yau and the DDVV inequality verified by Lu, Ge a…