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- Slice_theorem_(differential_geometry) abstract "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 the Luna's slice theorem.".
- Slice_theorem_(differential_geometry) wikiPageExternalLink on-a-proof-of-the-existence-of-tubular-neighborhoods.
- Slice_theorem_(differential_geometry) wikiPageID "39906398".
- Slice_theorem_(differential_geometry) wikiPageRevisionID "586917552".
- Slice_theorem_(differential_geometry) subject Category:Differential_geometry.
- Slice_theorem_(differential_geometry) subject Category:Mathematical_theorems.
- Slice_theorem_(differential_geometry) comment "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 the Luna's slice theorem.".
- Slice_theorem_(differential_geometry) label "Slice theorem (differential geometry)".
- Slice_theorem_(differential_geometry) sameAs m.0w7pbk4.
- Slice_theorem_(differential_geometry) sameAs Q17093903.
- Slice_theorem_(differential_geometry) sameAs Q17093903.
- Slice_theorem_(differential_geometry) wasDerivedFrom Slice_theorem_(differential_geometry)?oldid=586917552.
- Slice_theorem_(differential_geometry) isPrimaryTopicOf Slice_theorem_(differential_geometry).