## Presentation: Using Holonomy to Understand Riemannian Manifolds

This is the script for a presentation I gave for a class in Riemannian Geometry at the University of Minnesota in the Fall of 2019. In it, I dicuss the basics of holonomy, history of the theory, de Rham’s decomposition theroem, the Ambrose-Singer theorem, and Berger’s classifiction. Motivation Let us start with an example to … Continue reading Presentation: Using Holonomy to Understand Riemannian Manifolds