R-separation of variables for the conformally invariant Laplace equation

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dc.creatorChanachowicz, M.
dc.creatorChanu, C.
dc.creatorMcLenaghan, R. G.
dc.date2007-08-16
dc.date2008-03-25
dc.date.accessioned2026-07-07T09:27:57Z
dc.date.available2026-07-07T09:27:57Z
dc.descriptionThe conditions for R-separation of variables for the conformally invariant Laplace equation on an n-dimensional Riemannian manifold are determined and compared with the conditions for the additive separation of the null geodesic Hamilton-Jacobi equation. The case of 3-dimensions is examined in detail and it is proven that on any conformally flat manifold the two equations separate in the same coordinates.
dc.description13 pages, submitted to Journal of Geometry and Physics. Replaced due to a factor of 1/4 error found in some presented formulae; note this does not affect the results derived and discussed - only in the initial presentation
dc.identifierhttps://arxiv.org/abs/0708.2163
dc.identifierhttp://arxiv.org/abs/0708.2163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157289
dc.subjectMathematical Physics
dc.subject53B20 (Primary); 37J35 (Secondary)
dc.titleR-separation of variables for the conformally invariant Laplace equation
dc.typetext

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