The conditions for R-separation of variables for the conformally invariant Laplace-Beltrami equation on an n-dimensional pseudo-Riemannian manifold are determined and compared with the conditions for the additive separation of the null geodesic Hamilton-Jacobi equation. The case of three-dimensions is examined in detail and it is proven that on any conformally flat manifold the two equations separate in the same coordinates
Chanachowicz, M., Chanu, C., & Mclenaghan, R. (2009). R-separation of variables for the conformally invariant Laplace equation. JOURNAL OF GEOMETRY AND PHYSICS, 59(7), 876-884 [10.1016/j.geomphys.2009.03.010].
Citazione: | Chanachowicz, M., Chanu, C., & Mclenaghan, R. (2009). R-separation of variables for the conformally invariant Laplace equation. JOURNAL OF GEOMETRY AND PHYSICS, 59(7), 876-884 [10.1016/j.geomphys.2009.03.010]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | R-separation of variables for the conformally invariant Laplace equation | |
Autori: | Chanachowicz, M; Chanu, C; Mclenaghan, R | |
Autori: | ||
Data di pubblicazione: | 2009 | |
Lingua: | English | |
Rivista: | JOURNAL OF GEOMETRY AND PHYSICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.geomphys.2009.03.010 | |
Appare nelle tipologie: | 01 - Articolo su rivista |