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- Ambient_construction abstract "In conformal geometry, the ambient construction refers to a construction of Charles Fefferman and Robin Graham for which a conformal manifold of dimension n is realized (ambiently) as the boundary of a certain Poincaré manifold, or alternatively as the celestial sphere of a certain pseudo-Riemannian manifold.The ambient construction is canonical in the sense that it is performed only using the conformal class of the metric: it is conformally invariant. However, the construction only works asymptotically, up to a certain order of approximation. There is, in general, an obstruction to continuing this extension past the critical order. The obstruction itself is of tensorial character, and is known as the (conformal) obstruction tensor. It is, along with the Weyl tensor, one of the two primitive invariants in conformal differential geometry.Aside from the obstruction tensor, the ambient construction can be used to define a class of conformally invariant differential operators known as the GJMS operators.A related construction is the tractor bundle.".
- Ambient_construction wikiPageID "5784666".
- Ambient_construction wikiPageLength "6966".
- Ambient_construction wikiPageOutDegree "29".
- Ambient_construction wikiPageRevisionID "628371819".
- Ambient_construction wikiPageWikiLink CFT_correspondence.
- Ambient_construction wikiPageWikiLink Asymptote.
- Ambient_construction wikiPageWikiLink Asymptotic.
- Ambient_construction wikiPageWikiLink Bach_tensor.
- Ambient_construction wikiPageWikiLink Category:Conformal_geometry.
- Ambient_construction wikiPageWikiLink Celestial_sphere.
- Ambient_construction wikiPageWikiLink Charles_Fefferman.
- Ambient_construction wikiPageWikiLink Conformal_class.
- Ambient_construction wikiPageWikiLink Conformal_geometry.
- Ambient_construction wikiPageWikiLink Conformal_manifold.
- Ambient_construction wikiPageWikiLink Differential_operator.
- Ambient_construction wikiPageWikiLink Dirichlet_boundary_condition.
- Ambient_construction wikiPageWikiLink Fiber_bundle.
- Ambient_construction wikiPageWikiLink GJMS_operator.
- Ambient_construction wikiPageWikiLink Holographic_principle.
- Ambient_construction wikiPageWikiLink Hyperbolic_manifold.
- Ambient_construction wikiPageWikiLink Lie_derivative.
- Ambient_construction wikiPageWikiLink Line_bundle.
- Ambient_construction wikiPageWikiLink Minkowski_space.
- Ambient_construction wikiPageWikiLink Normal_conformal_connection.
- Ambient_construction wikiPageWikiLink Null_cone.
- Ambient_construction wikiPageWikiLink Null_vector.
- Ambient_construction wikiPageWikiLink Obstruction_theory.
- Ambient_construction wikiPageWikiLink Order_of_approximation.
- Ambient_construction wikiPageWikiLink Orders_of_approximation.
- Ambient_construction wikiPageWikiLink Pseudo-Riemannian.
- Ambient_construction wikiPageWikiLink Pseudo-Riemannian_manifold.
- Ambient_construction wikiPageWikiLink Pullback_(differential_geometry).
- Ambient_construction wikiPageWikiLink Ricci-flat_manifold.
- Ambient_construction wikiPageWikiLink Ricci_flat.
- Ambient_construction wikiPageWikiLink Schouten_tensor.
- Ambient_construction wikiPageWikiLink Total_space.
- Ambient_construction wikiPageWikiLink Tractor_bundle.
- Ambient_construction wikiPageWikiLink Weyl_tensor.
- Ambient_construction wikiPageWikiLinkText "Ambient construction".
- Ambient_construction wikiPageWikiLinkText "ambient construction".
- Ambient_construction hasPhotoCollection Ambient_construction.
- Ambient_construction wikiPageUsesTemplate Template:Cite_arXiv.
- Ambient_construction subject Category:Conformal_geometry.
- Ambient_construction comment "In conformal geometry, the ambient construction refers to a construction of Charles Fefferman and Robin Graham for which a conformal manifold of dimension n is realized (ambiently) as the boundary of a certain Poincaré manifold, or alternatively as the celestial sphere of a certain pseudo-Riemannian manifold.The ambient construction is canonical in the sense that it is performed only using the conformal class of the metric: it is conformally invariant.".
- Ambient_construction label "Ambient construction".
- Ambient_construction sameAs m.0f4dxt.
- Ambient_construction sameAs Q4741429.
- Ambient_construction sameAs Q4741429.
- Ambient_construction wasDerivedFrom Ambient_construction?oldid=628371819.
- Ambient_construction isPrimaryTopicOf Ambient_construction.