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Differential invariants of self-dual conformal structures

dc.contributor.authorKruglikov, Boris
dc.contributor.authorSchneider, Eivind
dc.date.accessioned2019-06-26T08:59:39Z
dc.date.available2019-06-26T08:59:39Z
dc.date.issued2016-06-17
dc.description.abstractWe compute the quotient of the self-duality equation for conformal metrics by the action of the diffeomorphism group. We also determine Hilbert polynomial, counting the number of independent scalar differential invariants depending on the jet-order, and the corresponding Poincaré function. We describe the field of rational differential invariants separating generic orbits of the diffeomorphism pseudogroup action, resolving the local recognition problem for self-dual conformal structures.en_US
dc.descriptionSource at <a href=https://doi.org/10.1016/j.geomphys.2016.05.017>https://doi.org/10.1016/j.geomphys.2016.05.017</a>.en_US
dc.identifier.citationKruglikov, B. & Schneider, E. (2016). Differential invariants of self-dual conformal structures. <i>Journal of Geometry and Physics, 113</i>, 176-187. https://doi.org/10.1016/j.geomphys.2016.05.017en_US
dc.identifier.cristinIDFRIDAID 1379432
dc.identifier.doi10.1016/j.geomphys.2016.05.017
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.urihttps://hdl.handle.net/10037/15607
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.ispartofSchneider, E. (2019). Differential invariants of Lie pseudogroups. (Doctoral thesis). <a href=https://hdl.handle.net/10037/15600>https://hdl.handle.net/10037/15600</a>.
dc.relation.journalJournal of Geometry and Physics
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Topologi/geometri: 415en_US
dc.subjectDifferential invariantsen_US
dc.subjectInvariant derivationsen_US
dc.subjectSelf-dualityen_US
dc.subjectConformal metric structureen_US
dc.subjectHilbert polynomialen_US
dc.subjectPoincaré functionen_US
dc.titleDifferential invariants of self-dual conformal structuresen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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