Talk:Isotropic manifold

Spherical symmetry
Is there some "locally spherically symmetric"-property of the metric which can be used to clarify the "independ of directions"? --MarSch 11:18, 21 March 2007 (UTC)

Sufficient conditions for homogeneity
Do we not need completeness to ensure that every two points have a geodesic connecting them for the argument that connected & isotropic implies homogeneous? Calumn39 (talk) 16:53, 1 February 2023 (UTC)