Isotropic manifold
http://dbpedia.org/resource/Isotropic_manifold an entity of type: Thing
In mathematics, an isotropic manifold is a manifold in which the geometry does not depend on directions. Formally, we say that a Riemannian manifold is isotropic if for any point and unit vectors , there is an isometry of with and . Every connected isotropic manifold is homogeneous, i.e. for any there is an isometry of with This can be seen by considering a geodesic from to and taking the isometry which fixes and maps to
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Isotropic manifold
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1966001
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1108122079
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In mathematics, an isotropic manifold is a manifold in which the geometry does not depend on directions. Formally, we say that a Riemannian manifold is isotropic if for any point and unit vectors , there is an isometry of with and . Every connected isotropic manifold is homogeneous, i.e. for any there is an isometry of with This can be seen by considering a geodesic from to and taking the isometry which fixes and maps to
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