activity
20232026
most citedNonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open -Manifolds

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.DG2026

Fundamental Groups in the Five Dimensional Pan-Rong Conjecture

Hongzhi Huang

Let be a complete open -manifold with nonnegative Ricci curvature. If its universal cover has Euclidean volume growth, then is finitely generated and vir…

math.DG2025

Splitting and Slow Volume Growth for Open Manifolds with Nonnegative Ricci Curvature

Hongzhi Huang, Xian-Tao Huang

In \cite{NPZ24}, Navarro-Pan-Zhu proved that the fundamental group of an open manifold with nonnegative Ricci curvature and linear volume growth contains a subgroup isomorphic to $…

math.DG2025★ 1 cited

Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open -Manifolds

Hongzhi Huang, Xian-Tao Huang

Let be a 4-dimensional open manifold with nonnegative Ricci curvature. In this paper, we prove that if the universal cover of has Euclidean volume growth, then the fundamen…

math.DG2023

Finite generation of fundamental groups for manifolds with nonnegative Ricci curvature whose universal cover is almost -polar at infinity

Hongzhi Huang

In this article, we prove that the fundamental group of a complete open manifold with nonnegative Ricci curvature is finitely generated, under the condition that the R…

math.DG2023

Open manifolds with uniformly positive isotropic curvature

Hong Huang

We prove the following result: Let be a complete noncompact manifold of dimension with isotropic curvature bounded below by a positive constant, with scalar cu…