Riemannian connectionsExplores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.
Bird's-eye view and aimsCovers optimization on manifolds, smoothness, tools needed for optimization, and advanced algorithms using Hessians and Riemannian connections.
Connections: Axiomatic DefinitionExplores connections on manifolds, emphasizing the axiomatic definition and properties of derivatives in differentiating vector fields.