68 citations · 160 across the 20 of their papers we have counts for
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math.DG2017★ 1 cited
Nonnegatively curved hypersurfaces with free boundary on a sphere
Mohammad Ghomi, Changwei Xiong
We prove that in Euclidean space any compact immersed nonnegatively curved hypersurface with free boundary on the sphere is an embedded convex topological disk.…
math.DG2017★ 5 cited
Comparison of Steklov eigenvalues on a domain and Laplacian eigenvalues on its boundary in Riemannian manifolds
Changwei Xiong
We prove that in Riemannian manifolds the -th Steklov eigenvalue on a domain and the square root of the -th Laplacian eigenvalue on its boundary can be mutually controlled in…
math.DG2017★ 1 cited
A gap theorem for free boundary minimal surfaces in geodesic balls of hyperbolic space and hemisphere
Haizhong Li, Changwei Xiong
In this paper we provide a pinching condition for the characterization of the totally geodesic disk and the rotational annulus among minimal surfaces with free boundary in geodesic…