Definition talk:Riemannian Manifold

$\R^n$ is the image of coordinate functions which for each point on the manifold produce $n$ numbers known as the coordinates (c.f. Definition:Chart)
What do you mean? I still cannot understand the meaning of "on $\R^n$". It looks simply wrong. I guess it means it is a $\R$-manifold and not a $\C$-manifold, or something similar. --Usagiop (talk) 00:23, 10 November 2022 (UTC)