Researched
Riemannian Geometry
Riemann's 1854 lecture defines curved spaces of any dimension by a local measure of distance.
Open in the interactive tree →Gauss's curvature of surfaces, generalised to n dimensions, gave the mathematics later called tensor calculus (Ricci, Levi-Civita). It supplied Einstein with the tools for general relativity in 1915.
Prerequisites
Unlocks
- Theory of Relativity1905General relativity is written in the language of curved Riemannian geometry
- Hodge Conjectureopen