On the essential constants in Riemannian geometries

dc.creatorPapadopoulos, G. O.
dc.date2005-03-23
dc.date2006-09-15
dc.date.accessioned2026-07-07T06:38:12Z
dc.date.available2026-07-07T06:38:12Z
dc.descriptionIn the present work the problem of distinguishing between essential and spurious (i.e., absorbable) constants contained in a metric tensor field in a Riemannian geometry is considered. The contribution of the study is the presentation of a sufficient and necessary criterion, in terms of a covariant statement, which enables one to determine whether a constant is essential or not. It turns out that the problem of characterization is reduced to that of solving a system of partial differential equations of the first order. In any case, the metric tensor field is assumed to be smooth with respect to the constant to be tested. It should be stressed that the entire analysis is purely of local character.
dc.description10 pages, LaTeX2e typesetting system, no tables or figures, J. Math. Phys. 47, 092502 (2006) [still open issue]
dc.identifierhttps://arxiv.org/abs/gr-qc/0503096
dc.identifierhttp://arxiv.org/abs/gr-qc/0503096
dc.identifierdoi:10.1063/1.2338760
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100654
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the essential constants in Riemannian geometries
dc.typetext

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