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Einstein metrics in projective geometry

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dc.contributor.authorCap, Andreas
dc.contributor.authorGover, Rod
dc.contributor.authorMacbeth, H R M
dc.date.accessioned2015-12-10T23:34:17Z
dc.date.issued2014
dc.date.updated2015-12-10T11:32:06Z
dc.description.abstractIt is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined projectively invariant differential equation. This equation is a special case of a so-called first Bernstein-Gelfand-Gelfand (BGG) equation. The general theory of such equations singles out a subclass of so-called normal solutions. We prove that non-degenerate normal solutions are equivalent to pseudo-Riemannian Einstein metrics in the projective class and observe that this connects to natural projective extensions of the Einstein condition.
dc.identifier.issn0046-5755
dc.identifier.urihttp://hdl.handle.net/1885/69377
dc.publisherKluwer Academic Publishers
dc.sourceGeometriae Dedicata
dc.titleEinstein metrics in projective geometry
dc.typeJournal article
local.bibliographicCitation.issue1
local.bibliographicCitation.lastpage244
local.bibliographicCitation.startpage235
local.contributor.affiliationCap, Andreas, Universitat Wien
local.contributor.affiliationGover, Rod, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationMacbeth, H R M, Princeton University
local.contributor.authoruidGover, Rod, u4771541
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor019999 - Mathematical Sciences not elsewhere classified
local.identifier.ariespublicationa383154xPUB2006
local.identifier.citationvolume168
local.identifier.doi10.1007/s10711-013-9828-3
local.identifier.scopusID2-s2.0-84893685577
local.type.statusPublished Version

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