Homogeneous metric

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This article defines a property that makes sense for a Riemannian metric over a differential manifold

Definition

Given data

A differential manifold M equipped with a Riemannian metric g.

Definition part

The metric g is said to be a homogeneous metric if given any points x,y \in M, there exists an isometry of M sending x to y.

Relation with other properties

Stronger properties

Weaker properties