Definition:Riemannian Manifold/Dimension

Definition

Let $M$ be a Riemannian manifold on the real space $\R^n$.

This article, or a section of it, needs explaining. In particular: What does "on the real space $\R^n$" mean? You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Explain}} from the code.

The dimension of the Riemannian manifold on $\R^n$ is $n$.

There are no source works cited for this page. In particular: This definition looks wrong. What does "on $\R^n$" mean? Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.