# Definition:Riemannian Manifold/Dimension

< Definition:Riemannian Manifold(Redirected from Definition:Dimension of Riemannian Manifold)

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## Definition

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

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

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