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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMOUNOUD, Pierre
dc.date.accessioned2024-04-04T02:35:03Z
dc.date.available2024-04-04T02:35:03Z
dc.date.created2009-07-10
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190601
dc.description.abstractEnIn this article we extend the Gallot-Tanno theorem to closed pseudo-Riemannian manifolds. It is done by showing that if the cone over such a manifold admits a parallel symmetric $2$-tensor then it is incomplete and has non zero constant curvature. An application of this result to the existence of metrics with distinct Levi-Civita connections but having the same unparametrized geodesics is given.
dc.language.isoen
dc.subject.encone manifold
dc.subject.enparallel tensor
dc.subject.enprojective Lichnerowicz conjecture
dc.title.enGallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and application.
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Géométrie différentielle [math.DG]
dc.identifier.arxiv0907.1889
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00403620
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00403620v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=MOUNOUD,%20Pierre&rft.genre=preprint


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