7 citations · 14 across the 6 of their papers we have counts for
6 papers
Rigidity of Ricci-Pinched Complete Self-Shrinkers in Arbitrary Codimension
Juan Li, Zhiyuan Xu
Let be an -dimensional complete connected self-shrinker in . Denote by and the Ricci curvature tensor and the mean curvat…
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…
New result on Chern conjecture for minimal hypersurfaces and its application
Hongwei Xu, Zhiyuan Xu
We verify that if is a compact minimal hypersurface in whose squared length of the second fundamental form satisfying , then $…
A new characterization of the Clifford torus via scalar curvature pinching
Hong-wei Xu, Zhi-yuan Xu
Let be a compact hypersurface with constant mean curvature in . Denote by the squared norm of the second fundamental form of . We prove that ther…
The second pinching theorem for hypersurfaces with constant mean curvature in a sphere
Hong-Wei Xu, Zhi-Yuan Xu
We generalize the second pinching theorem for minimal hypersurfaces in a sphere due to Peng-Terng, Wei-Xu, Zhang, and Ding-Xin to the case of hypersurfaces with small constant mean…