tags: - colorclass/differential geometry ---### Geometry of Manifolds Geometry deals with the properties of space that are related to distance, shape, size, and relative position of figures. In the context of Manifolds, which can be thought of as spaces that locally resemble Euclidean Space, geometry concerns itself with how these manifolds are curved, how distances are measured, and how angles are defined. Differential Forms and their integrals are tools that allow us to measure geometric quantities like volumes, fluxes, and circulations within these curved spaces.
See Also: - Riemannian Geometry