Hong Huang

collaborators

3 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 $n$ -manifold $M$ sa…

math.DG2025

Classification of compact manifolds with positive isotropic curvature

Hong Huang

We show the following result: Let $(M, g_{0})$ be a compact manifold of dimension $n \geq 12$ with positive isotropic curvature. Then $M$ is diffeomorphic to a spherical space form, or…

math.DG2025

Compact manifolds of dimension $n \geq 12$ with positive isotropic curvature

Hong Huang

We prove the following result: Let $(M, g_{0})$ be a compact manifold of dimension $n \geq 12$ with positive isotropic curvature. Then $M$ is diffeomorphic to a spherical space form, o…

Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature

Classification of compact manifolds with positive isotropic curvature

Compact manifolds of dimension n≥12 with positive isotropic curvature

Compact manifolds of dimension $n \geq 12$ with positive isotropic curvature