collaborators

5 papers

math.DG2026

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…

math.DG2025

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…

math.DG2025

Compact manifolds of dimension with positive isotropic curvature

Hong Huang

We prove the following result: Let be a compact manifold of dimension with positive isotropic curvature. Then is diffeomorphic to a spherical space form, o…

math.DG2024

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…

math.DG2024

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…