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 $\map {\text {Iso}} {M, g}$.
Sources
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Definitions