2nd-order symmetric Lorentzian manifolds I: characterization and general results

Simple item page
dc.creatorSenovilla, José M. M.
dc.date2006-04-05
dc.date2008-10-24
dc.date.accessioned2026-07-07T10:12:44Z
dc.date.available2026-07-07T10:12:44Z
dc.descriptionThe n-dimensional Lorentzian manifolds with vanishing second covariant derivative of the Riemann tensor (2-symmetric spacetimes) are characterized and classified. The main result is that either they are locally symmetric or they have a covariantly constant null vector field, in this case defining a subfamily of Brinkmann's class in n dimensions. Related issues and applications are considered, and new open questions presented.
dc.description23 pages (in cqg format), no figures, one small table. Final corrections, references updated, proof of Corollary 3.1 improved, acknowledgements expanded. Version to be published in CQG
dc.identifierhttps://arxiv.org/abs/math/0604113
dc.identifierhttp://arxiv.org/abs/math/0604113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172284
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject53B30, 53B20, 53C50, 53Z05
dc.title2nd-order symmetric Lorentzian manifolds I: characterization and general results
dc.typetext

Files

Collections

arXiv