7 citations · 39 across the 7 of their papers we have counts for
9 papers
New Developments in Mean Curvature Flow of Arbitrary Codimension Inspired By Yau Rigidity Theory
Li Lei, Hong-Wei Xu
In this survey, we will focus on the mean curvature flow theory with sphere theorems, and discuss the recent developments on the convergence theorems for the mean curvature flow of…
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…
A new gap for complete hypersurfaces with constant mean curvature in space forms
Juanru Gu, Li Lei, Hongwei Xu
Let be an -dimensional closed hypersurface with constant mean curvature and constant scalar curvature in an unit sphere. Denote by and the mean curvature and the squ…
A new pinching theorem for complete self-shrinkers and its generalization
Li Lei, Hongwei Xu, Zhiyuan Xu
In this paper, we firstly verify that if is a complete self-shrinker with polynomial volume growth in , and if the squared norm of the second fundamental form…
On Chern's conjecture for minimal hypersurfaces in spheres
Li Lei, Hongwei Xu, Zhiyuan Xu
Using a new estimate for the Peng-Terng invariant and the multiple-parameter method, we verify a rigidity theorem on the stronger version of Chern Conjecture for minimal hypersurfa…
Mean curvature flow of arbitrary codimension in complex projective spaces
Li Lei, Hongwei Xu
In this paper, we investigate the mean curvature flow of submanifolds of arbitrary codimension in . We prove that if the initial submanifold satisfies a pin…