Nonorthogonal R-separable coordinates for four-dimensional complex Riemannian spaces

DOI10.1063/1.524753zbMath0499.58029OpenAlexW2047864751WikidataQ115332646 ScholiaQ115332646MaRDI QIDQ3965306

Willard jun. Miller, Ernest G. Kalnins

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524753

zbMATH Keywords

Hamilton-Jacobi equationLaplace equationHelmholtz equationsconformally flat spaceR-separable coordinate systems

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Cites Work

• Separable coordinates for four-dimensional Riemannian spaces
• Separable systems of Stäckel
• Non-orthogonal separable coordinate systems for the flat 4-space Helmholtz equation
• The wave equation, O(2, 2), and separation of variables on hyperboloids

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