Separable coordinates for three-dimensional complex Riemannian spaces

DOI10.4310/jdg/1214434971zbMath0449.35008OpenAlexW2140909854WikidataQ115189109 ScholiaQ115189109MaRDI QIDQ1147295

Willard jun. Miller, Ernest G. Kalnins

Publication date: 1979

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214434971

zbMATH Keywords

Hamilton-Jacobi equationHelmholtz equationseparation of variablescomplete classification of complex Riemannian metricsnon-orthogonal 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) Partial differential equations of mathematical physics and other areas of application (35Q99) Hamilton-Jacobi equations in mechanics (70H20) Other special methods applied to PDEs (35A25)

Related Items (4)

Separation of variables in the Hamilton-Jacobi equation for geodesics in two and three dimensions ⋮ The wave equation and separation of variables on the complex sphere \(S_ 4\). ⋮ Orthogonal separation of variables on manifolds with constant curvature ⋮ Separable coordinates for four-dimensional Riemannian spaces

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