Gallot-Tanno Theorem for closed incomplete pseudo-Riemannian manifolds and applications.
| hal.structure.identifier | Mathematisches Institut, FSU Jena | |
| dc.contributor.author | MATVEEV, Vladimir | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MOUNOUD, Pierre | |
| dc.date.accessioned | 2024-04-04T02:29:20Z | |
| dc.date.available | 2024-04-04T02:29:20Z | |
| dc.date.created | 2009-09-29 | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 0232-704X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190165 | |
| dc.description.abstractEn | We extend the Gallot-Tanno Theorem to closed pseudo-Riemannian manifolds. It is done by showing that if the cone over a manifold admits a parallel symmetric $(0,2)-$tensor then it is Riemannian. Applications of this result to the existence of metrics with distinct Levi-Civita connections but having the same unparametrized geodesics and to the projective Obata conjecture are given. We also apply our result to show that the holonomy group of a closed $(O(p+1,q),S^{p,q})$-manifold does not preserve any nondegenerate splitting of $\R^{p+1,q}$. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Gallot-Tanno Theorem for closed incomplete pseudo-Riemannian manifolds and applications. | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10455-010-9211-7 | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 0909.5344 | |
| bordeaux.journal | Annals of Global Analysis and Geometry | |
| bordeaux.page | 259-271 | |
| bordeaux.volume | 38 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00420655 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00420655v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annals%20of%20Global%20Analysis%20and%20Geometry&rft.date=2010&rft.volume=38&rft.issue=3&rft.spage=259-271&rft.epage=259-271&rft.eissn=0232-704X&rft.issn=0232-704X&rft.au=MATVEEV,%20Vladimir&MOUNOUD,%20Pierre&rft.genre=article |
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