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dc.contributor.authorOlea-Andrades, Benjamín 
dc.contributor.authorPalomo-Ruiz, Francisco José 
dc.date.accessioned2023-04-20T11:51:52Z
dc.date.available2023-04-20T11:51:52Z
dc.date.created2023-04-20
dc.date.issued2022-12-19
dc.identifier.citationOlea, B., & Palomo, F. J. (2023). Lorentzian Metrics Null-Projectively Related to Semi-Riemannian Metrics. The Journal of Geometric Analysis, 33(2), 71.es_ES
dc.identifier.urihttps://hdl.handle.net/10630/26322
dc.description.abstractWe say that a Lorentzian metric and a semi-Riemannian metric on the same manifold M are null-projectively related if every null geodesic of the Lorentzian metric is an unparametrized geodesic of the semi-Riemannian one. This definition includes the case of conformally related Lorentzian metrics and the case of projectively equivalent metrics. We characterize the null-projectively relation by means of certain tensor and provide some examples. Then, we focus on the special case in which both metrics share parametrized null geodesics. In this case, it is said that they are null related. We show how to construct projectively equivalent metrics via a conformal transformation from null-related ones and conversely. The classical Levi-Civita theorem on projectively equivalent metrics is adapted to the case of null-related metrics and some results ensuring that two null-related metric are affinely equivalent are proven under curvature conditions.es_ES
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. // Funding for open access charge: Universidad de Málaga / CBUA.es_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectRiemann, Variedades dees_ES
dc.subjectMatemáticases_ES
dc.subjectMediciónes_ES
dc.subjectGeometría diferenciales_ES
dc.subject.otherNull-projectively related metricses_ES
dc.subject.otherNull geodesicses_ES
dc.subject.otherGeodesically equivalent metricses_ES
dc.subject.otherAffinely equivalent metricses_ES
dc.titleLorentzian Metrics Null-Projectively Related to Semi-Riemannian Metricses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.centroE.T.S.I. Telecomunicaciónes_ES
dc.identifier.doihttps://doi.org/10.1007/s12220-022-01126-4
dc.rights.ccAtribución 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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