\(R\)-separation of variables for the conformally invariant Laplace-Beltrami equation

DOI10.1016/J.GEOMPHYS.2009.03.010zbMath1169.58012arXiv0708.2163OpenAlexW1848515547MaRDI QIDQ1029481

Mark Chanachowicz, Raymond G. Mclenaghan, Claudia Maria Chanu

Publication date: 10 July 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2163

zbMATH Keywords

Laplace equationconformal invarianceconformal flatnessLaplace-Beltrami equation\(R\)-separationconformal separationStäckel separability

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Applications of local differential geometry to the sciences (53B50)

Related Items (1)

Symmetry operators and separation of variables for Dirac's equation on two-dimensional spin manifolds with external fields

Cites Work

• Separation of variables and symmetry operators for the conformally invariant Klein-Gordon equation on curved spacetime
• Stäckel systems in conformal Euclidean space
• Variable-separation theory for the null Hamilton–Jacobi equation
• Invariant classification of the rotationally symmetric R-separable webs for the Laplace equation in Euclidean space
• R-Separable Coordinates for Three-Dimensional Complex Riemannian Spaces
• FIXED ENERGY R-SEPARATION FOR SCHRÖDINGER EQUATION
• Theorems on Separability in Riemannian n-Space
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