14 citations · 89 across the 29 of their papers we have counts for
29 papers · 1 filter
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…
Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem
Zhengchao Ji, Hongwei Xu
In this paper, we give some lower bounds for several eigenvalues. Firstly, we investigate the eigenvalues of the Laplace operator and prove a sharp lower bound. Moreover, we…
Surfaces pinched by normal curvature for mean curvature flow in space forms
Dong Pu, Jingjing Su, Hongwei Xu
In this paper, we investigate the mean curvature flow of compact surfaces in -dimensional space forms. We prove the convergence theorems for the mean curvature flow under certai…
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…