Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open 4-Manifolds

2025-02-21 13:53:31

时间:2025年2月26日(星期三),9:00-12:00

Tencent Meeting:409 9581 4561

Password: 583483


主持人:Jintian Zhu, ITS

主讲人:Hongzhi Huang, Jinan University

报告主题:Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open 4-Manifolds

报告摘要:Let M be a 4-dimensional open manifold with nonnegative Ricci curvature. We prove that if the universal cover of M has Euclidean volume growth, then the fundamental group is finitely generated and contains an abelian subgroup whose index is bounded by a universal contant. This is joint work with Xian-Tao Huang.