Definition:Riemannian Covering

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Definition

Let $\struct {M, g}$ and $\struct {\tilde M, \tilde g}$ be Riemannian manifolds.

Let $\pi : \tilde M \to M$ be a smooth covering map.

Suppose $\pi$ is a local isometry.


Then $\pi$ is called a Riemannian covering.


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