Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces

dc.creatorJackiw, Roman
dc.date2007-08-28
dc.date2007-09-21
dc.date.accessioned2026-07-07T09:34:46Z
dc.date.available2026-07-07T09:34:46Z
dc.descriptionConformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza-Klein functions satisfy equations that coincide with the Einstein-Weyl equations in three dimensions and kink equations in two dimensions.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0708.3788
dc.identifierhttp://arxiv.org/abs/0708.3788
dc.identifierSIGMA 3 (2007), 091, 7 pages
dc.identifierdoi:10.3842/SIGMA.2007.091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159609
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleDimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces
dc.typetext

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