Isotropic manifold

Encyclopedia : I : IS : ISO : Isotropic manifold

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In mathematics, an isotropic manifold is one in which the geometry on the manifold is the same regardless of direction. A similar concept is homogeneous space. A manifold can be a homogeneous space but not isotropic, in the sense that an invariant metric tensor on a homogeneous space may not be isotropic.

 

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