6 papers · 1 filter
Homological -systole in -manifolds with positive intermediate curvature
Jingche Chen, Han Hong
In this paper, we prove optimal -systolic inequalities and characterize the case of equality on closed -dimensional Riemannian manifolds with positive intermediate curvature…
Nonexistence of the metric with positive intermediate curvatures on manifolds with boundary
Jingche Chen, Han Hong
We establish curvature obstruction theorems for manifolds with boundary. Our main theorems show that, for dimensions up to 7, a topologically nontrivial compact manifold with bound…
Rigidity of CMC hypersurfaces in 5-and 6-manifolds
Han Hong, Zetian Yan
We prove that nonnegative -intermediate Ricci curvature combined with uniformly positive -triRic curvature implies rigidity of complete noncompact two-sided stable minimal hy…
CMC hypersurface with finite index in hyperbolic space
Han Hong
In this paper, we prove that there are no complete noncompact constant mean curvature hypersurfaces with the mean curvature , finite index and finite topology in hyperbolic…
Do Carmo's problem for CMC hypersurfaces in
Jingche Chen, Han Hong, Haizhong Li
In this paper, we prove that complete noncompact constant mean curvature hypersurfaces in with finite index must be minimal. This provides a positive answer to do Ca…
Curvature estimates for semi-convex solutions of asymptotic Plateau problem in
Han Hong, Ruijia Zhang
In this paper, we consider the asymptotic Plateau problem in hyperbolic space. We establish estimates for semi-convex complete hypersurfaces satisfying constant …