53 citations · 84 across the 16 of their papers we have counts for
4 papers · 1 filter
1st eigenvalue pinching for convex hypersurfaces in a Riemannian manifold
Yingxiang Hu, Shicheng Xu
Let be a closed convex hypersurface lying in a convex ball of the ambient -manifold . We prove that, by pinching Heintze-Reilly's inequality via sect…
Recognizing shape via 1st eigenvalue, mean curvature and upper curvature bound
Yingxiang Hu, Shicheng Xu
Let be a closed immersed hypersurface lying in a contractible ball of the ambient -manifold . We prove that, by pinching Heintze-Reilly's inequality…
Contraction of surfaces in hyperbolic space and in sphere
Yingxiang Hu, Haizhong Li, Yong Wei +1
In this paper, we consider the contracting curvature flow of smooth closed surfaces in -dimensional hyperbolic space and in -dimensional sphere. In the hyperbolic case, we sh…
Harmonic mean curvature flow and geometric inequalities
Ben Andrews, Yingxiang Hu, Haizhong Li
In this article, we will use the harmonic mean curvature flow to prove a new class of Alexandrov-Fenchel type inequalities for strictly convex hypersurfaces in hyperbolic space in…