Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/109170
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Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Leistner, T. | - |
dc.contributor.author | Lischewski, A. | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Pacific Journal of Mathematics, 2017; 290(2):403-436 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.uri | http://hdl.handle.net/2440/109170 | - |
dc.description.abstract | For a conformal manifold, we describe a new relation between the ambient obstruction tensor of Fefferman and Graham and the holonomy of the normal conformal Cartan connection. This relation allows us to prove several results on the vanishing and the rank of the obstruction tensor, for example for conformal structures admitting twistor spinors or normal conformal Killing forms. As our main tool we introduce the notion of a conformal holonomy distribution and show that its integrability is closely related to the exceptional conformal structures in dimensions five and six that were found by Nurowski and Bryant. | - |
dc.description.statementofresponsibility | Thomas Leistner and Andree Lischewski | - |
dc.language.iso | en | - |
dc.publisher | Mathematical Sciences Publishers | - |
dc.rights | © 2017 Mathematical Sciences Publishers | - |
dc.source.uri | http://dx.doi.org/10.2140/pjm.2017.290.403 | - |
dc.subject | Fefferman-Graham ambient metric, obstruction tensor, conformal holonomy, exceptional conformal structures, normal conformal Killing forms | - |
dc.title | The ambient obstruction tensor and conformal holonomy | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.2140/pjm.2017.290.403 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/FT110100429 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP120104582 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Leistner, T. [0000-0002-8837-5215] | - |
Appears in Collections: | Aurora harvest 3 Mathematical Sciences publications |
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hdl_109170.pdf | Published version | 456.6 kB | Adobe PDF | View/Open |
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