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Short-time existence of solutions to the cross curvature flow on 3-manifolds

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dc.contributor.authorBuckland, John
dc.date.accessioned2016-03-18T00:00:54Z
dc.date.available2016-03-18T00:00:54Z
dc.date.issued2006
dc.date.updated2016-06-14T09:05:12Z
dc.description.abstractGiven a compact 3-manifold with an initial Riemannian metric of positive (or negative) sectional curvature, we prove the short-time existence of a solution to the cross curvature flow. This is achieved using an idea first introduced by DeTurck (1983) in his work establishing the short-time existence of solutions to the Ricci flow.
dc.description.sponsorshipThis research was partially supported by an Australian Research Council Discovery grant entitled Geometric evolution equations and global effects of curvature.en_AU
dc.identifier.issn0002-9939en_AU
dc.identifier.urihttp://hdl.handle.net/1885/100583
dc.publisherAmerican Mathematical Society
dc.relationhttp://purl.org/au-research/grants/arc/DP0344221
dc.rights© 2005 American Mathematical Society
dc.sourceProceedings of the American Mathematical Society
dc.subjectNonlinear evolution equations
dc.subjectcurvature flow
dc.subjectshort-time existence
dc.titleShort-time existence of solutions to the cross curvature flow on 3-manifolds
dc.typeJournal article
local.bibliographicCitation.issue06en_AU
local.bibliographicCitation.lastpage1808en_AU
local.bibliographicCitation.startpage1803en_AU
local.contributor.affiliationBuckland, John, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruidU4070049en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010501en_AU
local.identifier.ariespublicationu4441299xPUB52en_AU
local.identifier.citationvolume134en_AU
local.identifier.doi10.1090/S0002-9939-05-08204-3en_AU
local.identifier.scopusID2-s2.0-33744752064
local.publisher.urlhttp://www.ams.org/journals/en_AU
local.type.statusPublished Versionen_AU

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