2 papers
math.DG2022
Can One Perturb the Equatorial Zone on a Sphere with Larger Mean Curvature?
Baichuan Hu, Xiang Ma, Shengyang Wang
We consider the mean curvature rigidity problem of an equatorial zone on a sphere which is symmetric about the equator with width . There are two different notions on rigidity,…
math.DG2022
Mean Curvature Rigidity and Non-rigidity Results on Spherical Caps
Shibing Chen, Xiang Ma, Shengyang Wang
We prove that a hemisphere in the Euclidean space , viewed as the graph of a function, admits no smooth perturbations as graphs with mean curvature whose boundary…