14 citations · 47 across the 9 of their papers we have counts for
9 papers
The pinching constant for closed minimal submanifolds of high codimension in the sphere
Hongwei Xu, Entao Zhao
Let be a closed minimal submanifold in the unit sphere with and . Let be the squared length of its second fundamental form…
Classification of closed minimal hypersurfaces with constant scalar curvature in
Chengchao He, Hongwei Xu, Entao Zhao
In this paper, we prove that any closed minimal hypersurface in the -dimensional unit sphere with constant scalar curvature and constant -th mean curvatu…
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…
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…
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…
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…