Metrics and Riemannian Manifolds
Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad, Jürgen Jost, Janis Keck · Mathematics of data · 2025
Abstract In this chapter, we develop the basic geometric concepts. In line with the general structure of this text, we use a category theoretical language. While the basic notions of category theory will only be introduced later in Sect. 4.1 , this chapter will already introduce some of the examples of categories that are important in our context.