R-separation of variables for the conformally invariant Laplace equation

Details R-separation of variables for the conformally invariant Laplace equation R-separation of variables for the conformally invariant Laplace equation

2007-08-16

arxiv.org/abs/0708.2163v2

Physics

Mathematical Physics

13 pages, submitted to Journal of Geometry and Physics. Replaced due to a factor of 1/4 error found in some presented formulae

Scientific paper

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.

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