Definition:Riemannian Geometry (Mathematical Branch)
- Results about Riemannian geometry can be found here.
Source of Name
This entry was named for Bernhard Riemann.
The concept of Riemannian geometry originated from Bernhard Riemann 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.
- 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.