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Ricci flat metrics with bidimensional null orbits and non-integrable orthogonal distribution

Date

Date

Date
2007
Journal Article
Published version
cris.lastimport.scopus2025-07-10T03:34:04Z
cris.lastimport.wos2025-08-04T01:31:08Z
dc.contributor.institutionUniversity of Zurich
dc.date.accessioned2010-03-24T13:46:49Z
dc.date.available2010-03-24T13:46:49Z
dc.date.issued2007-04
dc.description.abstract

We study Ricci flat 4-metrics of any signature under the assumption that they allow a Lie algebra of Killing fields with 2-dimensional orbits along which the metric degenerates and whose orthogonal distribution is not integrable. It turns out that locally there is a unique (up to a sign) metric which satisfies the conditions. This metric is of signature (++−−) and, moreover, homogeneous possessing a 6-dimensional symmetry algebra.

dc.identifier.doi10.1016/j.difgeo.2006.08.006
dc.identifier.issn0926-2244
dc.identifier.scopus2-s2.0-33947385446
dc.identifier.urihttps://www.zora.uzh.ch/handle/20.500.14742/50092
dc.identifier.wos000246512400004
dc.language.isoeng
dc.subject.ddc510 Mathematics
dc.title

Ricci flat metrics with bidimensional null orbits and non-integrable orthogonal distribution

dc.typearticle
dcterms.accessRightsinfo:eu-repo/semantics/openAccess
dcterms.bibliographicCitation.journaltitleDifferential Geometry and its Applications
dcterms.bibliographicCitation.number2
dcterms.bibliographicCitation.originalpublishernameElsevier
dcterms.bibliographicCitation.pageend176
dcterms.bibliographicCitation.pagestart167
dcterms.bibliographicCitation.volume25
dspace.entity.typePublicationen
uzh.contributor.affiliationETH Zürich
uzh.contributor.authorBächtold, M
uzh.contributor.correspondenceYes
uzh.document.availabilitycontent_undefined
uzh.document.availabilitypostprint
uzh.eprint.datestamp2010-03-24 13:46:49
uzh.eprint.lastmod2025-08-04 01:40:51
uzh.eprint.statusChange2010-03-24 13:46:49
uzh.harvester.ethYes
uzh.harvester.nbNo
uzh.identifier.doi10.5167/uzh-30512
uzh.oastatus.unpaywallbronze
uzh.oastatus.zoraHybrid
uzh.publication.citationBächtold, M (2007). Ricci flat metrics with bidimensional null orbits and non-integrable orthogonal distribution. Differential Geometry and its Applications, 25(2):167-176.
uzh.publication.originalworkoriginal
uzh.publication.publishedStatusfinal
uzh.relatedUrl.urlhttp://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1123.53023&format=complete
uzh.scopus.impact1
uzh.scopus.subjectsAnalysis
uzh.scopus.subjectsGeometry and Topology
uzh.scopus.subjectsComputational Theory and Mathematics
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uzh.workflow.eprintid30512
uzh.workflow.fulltextStatusrestricted
uzh.workflow.revisions162
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