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

2025-02-21 13:53:31
报告人 时间 9:00-12:00
地点 Tencent Meeting 2025
月日 02-26

Time:9:00-12:00, Wednesday, February 26 2025

Tencent Meeting:409 9581 4561

Password: 583483


Host:Jintian Zhu, ITS

Speaker:Hongzhi Huang, Jinan University

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

Abstract: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.