The wave equation and separation of variables on the complex sphere \(S_ 4\).

DOI10.1016/0022-247X(81)90135-9zbMath0492.35040MaRDI QIDQ1167871

Willard jun. Miller, Ernest G. Kalnins

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

separation of variablescomplex wave equationoperators in the enveloping algebraR-separable coordinates

Mathematics Subject Classification ID

Wave equation (35L05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (2)

Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet ⋮ From conformal group to symmetries of hypergeometric type equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Separable coordinates for three-dimensional complex Riemannian spaces
• Symmetry and separation of variables for the Helmholtz and Laplace equations
• Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψt t−Δ2ψ=0
• Lie Theory and the Wave Equation in Space-Time. 2. The Group $SO(4,\mathbb{C})$
• Lie theory and the wave equation in space–time. 3. Semisubgroup coordinates
• Lie theory and the wave equation in space–time. 4. The Klein–Gordon equation and the Poincaré group
• Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψt t−Δ3ψ=0
• R-Separable Coordinates for Three-Dimensional Complex Riemannian Spaces
• R-Separation of Variables for the Four-Dimensional Flat Space Laplace and Hamilton-Jacobi Equations

This page was built for publication: The wave equation and separation of variables on the complex sphere \(S_ 4\).