Differential Geometry and its Applications

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dc.contributor.authorAtindogbe, C.
dc.contributor.authorGutiƩrrez, M.
dc.contributor.authorHounnonkpe, R.
dc.date.accessioned2022-04-20T15:24:44Z
dc.date.available2022-04-20T15:24:44Z
dc.date.issued2019
dc.descriptionCausality theory is a well established subject in Lorentzian manifolds and its importance is widely recognized. There are nice results where the levels of the causal ladder can be deduced starting from various assumptions.en_US
dc.description.abstractIn the present paper various necessary and/or sufficient conditions in terms of the existence and properties of quasi-time functions, semi-time functions and generalized time functions are provided to get different levels of the causal ladder in spacetimes. We also show several links between curvature conditions and causality.en_US
dc.description.sponsorshipThe second and third authors has been partially supported by the Ministerio de EconomĆ­a y Competitividad, [grant number FEDER-MTM2016-78647-P]. The third author has been partially supported by the African Centre of Excellence in Mathematical Sciences and Applications ACE-SMA. World Banken_US
dc.identifier.citationC. Atindogbe, M. GutiƩrrez, R. Hounnonkpe. (2019). Functions of time type, curvature and causality theory. Pg 114-124en_US
dc.identifier.issnhttps://doi.org/10.1016/j.difgeo.2019.02.006
dc.identifier.urihttp://hdl.handle.net/123456789/1407
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofseries;11
dc.subjectCasualityen_US
dc.subjectCasual hierarchyen_US
dc.subjectGeneralized time functionen_US
dc.subjectQuasi-time functionen_US
dc.subjectSemi-time functionen_US
dc.subjectNull convergence conditionen_US
dc.titleDifferential Geometry and its Applicationsen_US
dc.title.alternativeFunctions of time type, curvature and causality theoryen_US
dc.typeArticleen_US
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