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dc.contributor.authorBarberis, María Laura
dc.contributor.authorMoroianu, Andrei
dc.contributor.authorSemmelmann, Uwe
dc.date.accessioned2018-07-17T08:57:23Z
dc.date.available2018-07-17T08:57:23Z
dc.date.issued2018-07-17
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1377
dc.description.abstractMotivated by the study of Killing forms on compact Riemannian manifolds of negative sectional curvature, we introduce the notion of generalized vector cross products on $\mathbb{R}^n$ and give their classification. Using previous results about Killing tensors on negatively curved manifolds and a new characterization of $\mathrm{SU}(3)$-structures in dimension $6$ whose associated $3$-form is Killing, we then show that every Killing $3$-form on a compact $n$-dimensional Riemannian manifold with negative sectional curvature vanishes if $n\ge 4$.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2018,17
dc.subjectKilling tensorsen_US
dc.subjectKilling formsen_US
dc.subjectVector cross productsen_US
dc.subjectSU(3)-structuresen_US
dc.titleGeneralized Vector Cross Products and Killing Forms on Negatively Curved Manifoldsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2018-17
local.scientificprogramResearch in Pairs 2018en_US
local.series.idOWP-2018-17en_US
local.subject.msc53en_US
local.subject.msc15en_US
dc.identifier.urnurn:nbn:de:101:1-2018072413333832199923
dc.identifier.ppn1654683787


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