The dimension of the Riemannian manifold on $\R^n$ is $n$.
- Results about Riemannian manifolds can be found here.
Source of Name
This entry was named for Bernhard Riemann.
The concept of a Riemannian manifold was originated by 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.