R-separation of variables for the conformally invariant Laplace equation

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The 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.
13 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

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Mathematical Physics, 53B20 (Primary); 37J35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/157289

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.2163
 http://arxiv.org/abs/0708.2163

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arXiv