Conformal patterson-walker metrics

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dc.contributor.authorHammerl, Matthias
dc.contributor.authorSagerschnig, Katja
dc.contributor.authorŠilhan, Josef
dc.contributor.authorTaghavi-Chabert, Arman
dc.contributor.authorŽádník, Vojtěch
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:37Z
dc.date.available2025-01-24T11:24:37Z
dc.date.issued2019
dc.description.abstractThe classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a splitsignature conformal structure from a given projective class of connections. A characterization of the induced structures is obtained. We achieve a complete description of Einstein metrics in the conformal class formed by the Patterson-Walker metric. Finally, we describe all symmetries of the conformal Patterson-Walker metric. In both cases we obtain descriptions in terms of geometric data on the original structure. © 2019, International Press of Boston, Inc.
dc.identifier.doihttps://doi.org/10.4310/AJM.2019.v23.n5.a1
dc.identifier.eid2-s2.0-85086364354
dc.identifier.urihttp://hdl.handle.net/10938/26058
dc.language.isoen
dc.publisherInternational Press of Boston, Inc.
dc.relation.ispartofAsian Journal of Mathematics
dc.sourceScopus
dc.subjectConformal killing field
dc.subjectConformal structure
dc.subjectDifferential geometry
dc.subjectEinstein metrics
dc.subjectParabolic geometry
dc.subjectProjective structure
dc.subjectTwistor spinors
dc.titleConformal patterson-walker metrics
dc.typeArticle

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