Hongzhi Huang

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20232026

most citedNonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open

4

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math.DG2023

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

Hongzhi Huang

In this article, we prove that the fundamental group $π_{1} (M)$ of a complete open manifold $M$ 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 $(M, g_{0})$ be a complete noncompact manifold of dimension $n \geq 12$ with isotropic curvature bounded below by a positive constant, with scalar cu…

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

Open manifolds with uniformly positive isotropic curvature

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