3 papers
math.DG2026
Lu's conjecture for minimal surfaces
Weiran Ding, Jianquan Ge, Fagui Li +1
After Chern's conjecture on the discreteness of the constant scalar curvatures of compact minimal submanifolds in unit spheres , Z. Q. Lu proposed a conject…
math.DG2024
Volume gap between the minimal submanifold and the unit sphere
Weiran Ding, Jianquan Ge, Fagui Li
In this paper, following the method of Cheng-Li-Yau, we first modify the coefficients in the constant to improve the volume gap. Further, we also enlarge our gap by applying…
math.DG2024
Pinching rigidity of minimal surfaces in spheres
Weiran Ding, Jianquan Ge, Fagui Li
In this paper we give a pinching theorem of the Simon conjecture in the case s=3 and also give a new proof of the cases s=1 and s=2 by some Simons-type integral inequalities.