Definition:Riemannian Geometry (Mathematical Branch)/Historical Note

Historical Note on Riemannian Geometry
The concept of Riemannian geometry originated from in his trial lecture (published as Ueber die Hypothesen, welche der Geometrie zu Grande liegen) to apply for position of Privatdozent (unpaid lecturer) at Göttingen.

The contents of this lecture proved to be exactly the correct model for 's General Theory of Relativity:


 * Riemann's geometry of an $n$-dimensional space bears the same relation to Euclidean geometry of an $n$-dimensional space as the general geometry of curved surfaces bears to the geometry of the plane.

Hence it has been suggested that this lecture may have been the most important scientific lecture ever given.