The Fundamental Groups of Open Manifolds with Nonnegative Ricci Curvature

TL;DR

This survey reviews known results and open questions regarding the fundamental groups of open manifolds with nonnegative Ricci curvature, highlighting key developments and unresolved issues in the field.

Contribution

It compiles and discusses existing research on fundamental groups of such manifolds and presents open questions for future exploration.

Findings

Summary of key results on fundamental groups

Identification of open problems in the field

Highlights of recent progress and challenges

Abstract

We survey the results on fundamental groups of open manifolds with nonnegative Ricci curvature. We also present some open questions on this topic.