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Metrisability of two-dimensional projective structures

Bryant, Robert; Dunajski, Maciej; Eastwood, Michael

Description

We carry out the programme of R. Liouville [19] to construct an explicit local obstruction to the existence of a Levi-Civita connection within a given projective structure [Γ] on a surface. The obstruction is of order 5 in the components of a connection

dc.contributor.authorBryant, Robert
dc.contributor.authorDunajski, Maciej
dc.contributor.authorEastwood, Michael
dc.date.accessioned2015-12-07T22:30:57Z
dc.identifier.issn0022-040X
dc.identifier.urihttp://hdl.handle.net/1885/22559
dc.description.abstractWe carry out the programme of R. Liouville [19] to construct an explicit local obstruction to the existence of a Levi-Civita connection within a given projective structure [Γ] on a surface. The obstruction is of order 5 in the components of a connection
dc.publisherLehigh University
dc.sourceJournal of Differential Geometry
dc.source.urihttp://projecteuclid.org/euclid.jdg/1264601033
dc.titleMetrisability of two-dimensional projective structures
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume83
dc.date.issued2009
local.identifier.absfor010111 - Real and Complex Functions (incl. Several Variables)
local.identifier.ariespublicationu4379881xPUB22
local.type.statusPublished Version
local.contributor.affiliationBryant, Robert, MSRI - Mathematical Sciences Research Institute
local.contributor.affiliationDunajski, Maciej, University of Cambridge
local.contributor.affiliationEastwood, Michael, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage465
local.bibliographicCitation.lastpage499
dc.date.updated2015-12-07T10:10:50Z
local.identifier.scopusID2-s2.0-75149155686
local.identifier.thomsonID000274051000001
CollectionsANU Research Publications

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