On parallel and symmetric 2-tensorfields on cones over pseudo-Riemannian manifolds.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MOUNOUD, Pierre | |
| dc.date.accessioned | 2024-04-04T02:28:31Z | |
| dc.date.available | 2024-04-04T02:28:31Z | |
| dc.date.created | 2010-10-21 | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 1019-8385 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190106 | |
| dc.description.abstractEn | In this article, we study complete pseudo-Riemannian manifolds whose cone admits a parallel symmetric $2$-tensorfield. The situation splits in three cases: nilpotent, decomposable or complex Riemannian. In the complex Riemannian and decomposable cases we provide a classification. In the nilpotent case, we are able to describe completely only a dense open subset of the manifold. To conclude, we give examples with non-constant curvature in the nilpotent case. | |
| dc.language.iso | en | |
| dc.publisher | International Press | |
| dc.title.en | On parallel and symmetric 2-tensorfields on cones over pseudo-Riemannian manifolds. | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 1010.4620 | |
| bordeaux.journal | Communications in Analysis and Geometry | |
| bordeaux.page | 203-233 | |
| bordeaux.volume | 20 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00528147 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00528147v1 | |
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