Han Hong

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20242026

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math.DG2024

Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $H^{n + 1}$

Han Hong, Ruijia Zhang

In this paper, we consider the asymptotic $σ_{k}$ Plateau problem in hyperbolic space. We establish $C^{2}$ estimates for semi-convex complete hypersurfaces satisfying constant $σ_{k}$ c…

math.DG2024

Rigidity of CMC hypersurfaces in 5-and 6-manifolds

Han Hong, Zetian Yan

We prove that nonnegative $3$ -intermediate Ricci curvature combined with uniformly positive $k$ -triRic curvature implies rigidity of complete noncompact two-sided stable minimal hy…

math.DG2024

CMC hypersurface with finite index in hyperbolic space $H^{4}$

Han Hong

In this paper, we prove that there are no complete noncompact constant mean curvature hypersurfaces with the mean curvature $H > 1$ , finite index and finite topology in hyperbolic…

Curvature estimates for semi-convex solutions of asymptotic Plateau problem in Hn+1

Rigidity of CMC hypersurfaces in 5-and 6-manifolds

CMC hypersurface with finite index in hyperbolic space H4

Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $H^{n + 1}$

CMC hypersurface with finite index in hyperbolic space $H^{4}$