10 citations · 29 across the 32 of their papers we have counts for
4 papers · 1 filter
The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds
Shibing Chen, Mohammad Ghomi, Peng Wang
We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian -manifolds of nonpositive sectional curvature, …
The Cartan-Hadamard conjecture in dimension five
Shibing Chen, Mohammad Ghomi, Peng Wang
We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian -manifolds of nonpositive sectional curvature, which establis…
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…
Classifying convex compact ancient solutions to the affine curve shortening flow
Shibing Chen
In this paper we classify convex compact ancient solutions to the affine curve shortening flow: namely, any convex compact ancient solution to the affine curve shortening flow must…