hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	MOUNOUD, Pierre
dc.date.accessioned	2024-04-04T02:35:03Z
dc.date.available	2024-04-04T02:35:03Z
dc.date.created	2009-07-10
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/190601
dc.description.abstractEn	In 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.iso	en
dc.subject.en	cone manifold
dc.subject.en	parallel tensor
dc.subject.en	projective Lichnerowicz conjecture
dc.title.en	Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and application.
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Géométrie différentielle [math.DG]
dc.identifier.arxiv	0907.1889
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-00403620
hal.version	1
hal.audience	Non spécifiée
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00403620v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=MOUNOUD,%20Pierre&rft.genre=preprint

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Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and application.