= Isotropic manifold
{wiki=Isotropic_manifold}
An isotropic manifold is a mathematical concept primarily found in the field of differential geometry. More specifically, isotropic manifolds often relate to the study of Riemannian manifolds or pseudo-Riemannian manifolds with special properties regarding distances and angles. In general, a manifold is considered to be isotropic if its geometry is invariant under transformations that preserve angles and distances in some sense, meaning that the curvature properties of the manifold do not depend on the direction.
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