Slice theorem (differential geometry)
http://dbpedia.org/resource/Slice_theorem_(differential_geometry) an entity of type: WikicatMathematicalTheorems
In differential geometry, the slice theorem states: given a manifold M on which a Lie group G acts as diffeomorphisms, for any x in M, the map extends to an invariant neighborhood of (viewed as a zero section) in so that it defines an equivariant diffeomorphism from the neighborhood to its image, which contains the orbit of x. The important application of the theorem is a proof of the fact that the quotient admits a manifold structure when G is compact and the action is free. In algebraic geometry, there is an analog of the slice theorem; it is called Luna's slice theorem.
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Slice theorem (differential geometry)
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39906398
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1074667498
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In differential geometry, the slice theorem states: given a manifold M on which a Lie group G acts as diffeomorphisms, for any x in M, the map extends to an invariant neighborhood of (viewed as a zero section) in so that it defines an equivariant diffeomorphism from the neighborhood to its image, which contains the orbit of x. The important application of the theorem is a proof of the fact that the quotient admits a manifold structure when G is compact and the action is free. In algebraic geometry, there is an analog of the slice theorem; it is called Luna's slice theorem.
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1762