R-separation of variables for the conformally invariant Laplace equation
classification
🧮 math-ph
math.MP
keywords
conformallyequationconditionsinvariantlaplacemanifoldr-separationvariables
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.