9 citations · 37 across the 31 of their papers we have counts for
32 papers
Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature
Hongzhi Huang, Xian-Tao Huang, Jikang Wang +1
In this paper, we prove fibration theorems for manifolds with almost nonnegative Ricci curvature and certain extra regularity assumptions. We show that a closed -manifold sa…
Classification of compact manifolds with positive isotropic curvature
Hong Huang
We show the following result: Let be a compact manifold of dimension with positive isotropic curvature. Then is diffeomorphic to a spherical space form, or…
Almost splitting maps, transformation theorems and smooth fibration theorems
Hongzhi Huang, Xian-Tao Huang
In this paper, we introduce a notion, called generalized Reifenberg condition, under which we prove a smooth fibration theorem for collapsed manifolds with Ricci curvature bounded…
A finite Topological Type Theorem for open manifolds with Non-negative Ricci Curvature and Almost Maximal Local Rewinding Volume
Hongzhi Huang
In this paper, we present finite topological type theorems for open manifolds with non-negative Ricci curvature, under almost maximal local rewinding volume. Unlike previous relate…
Hessian estimates for the conjugate heat equation coupled with the Ricci flow
Hong Huang
In this short note we obtain some local and global upper bounds for the Hessian of a positive solution to the conjugate heat equation coupled with the Ricci flow.
Fibrations, and stability for compact group actions on manifolds with local bounded Ricci covering geometry
Hongzhi Huang
In this work, we (partially) generalize two classical tools in study of collapsed manifolds with bounded sectional curvature: a (singular) fibration theorem by Fukaya (1987) and Ch…