Hong-wei Xu

activity

20092026

most citedMean curvature flow of higher codimension in Riemannian manifolds

14 citations · 89 across the 29 of their papers we have counts for

collaborators

31 papers

math.DG2026

The pinching constant for closed minimal submanifolds of high codimension in the sphere

Hongwei Xu, Entao Zhao

Let $M^{n}$ be a closed minimal submanifold in the unit sphere $S^{n + q}$ with $n ⩾ 3$ and $q ⩾ 2$ . Let $S$ be the squared length of its second fundamental form…

math.DG2026

Classification of closed minimal hypersurfaces with constant scalar curvature in $S^{5}$

Chengchao He, Hongwei Xu, Entao Zhao

In this paper, we prove that any closed minimal hypersurface $M^{4}$ in the $5$ -dimensional unit sphere $S^{5}$ with constant scalar curvature and constant $3$ -th mean curvatu…

math.DG2020

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 $λ_{i}$ of the Laplace operator and prove a sharp lower bound. Moreover, we…

math.NT2020

On a subset sums problem of Chen and Wu

Min Tang, Hongwei Xu

For a set $A$ , let $P (A)$ be the set of all finite subset sums of $A$ . We prove that if a sequence $B = {11 \leq b_{1} < b_{2} < \dots}$ satisfies $b_{2} = 3 b_{1} + 5$ , $b_{3} = 3 b_{2} + 2$ and $b_{n+1}=3…

math.NT2020

On an inverse problem in additive number theory

Min Tang, Hongwei Xu

For a set $A$ , let $P (A)$ be the set of all finite subset sums of $A$ . In this paper, for a sequence of integers $B = {1 < b_{1} < b_{2} < \dots}$ and $3 b_{1} + 5 \leq b_{2} \leq 6 b_{1} + 10$ , we deter…

math.DG2020★ 1 cited

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 $4$ -dimensional space forms. We prove the convergence theorems for the mean curvature flow under certai…