Definition:Isotropic Riemannian Manifold

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Definition

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

Suppose $M$ is isotropic for all points $p \in M$.

Then $M$ is said to be isotropic.

Sources

• 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 3$: Model Riemannian Manifolds. Symmetries of Riemannian Manifolds