Definition:Isometry Group of Riemannian Manifold

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Definition

Let $\struct {M, g}$ be a Riemannian manifold.

Let $\phi : M \to M$ be an isometry of $\struct {M, g}$.


The set of all $\phi$ is called the isometry group of $\struct {M, g}$ and is denoted by $\map {\text {Iso}} {M, g}$.


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