On Darboux's approach to \(R\)-separability of variables

DOI10.3842/SIGMA.2011.095zbMath1245.35017arXiv1102.2637MaRDI QIDQ431374

Antoni Sym, Adam Szereszewski

Publication date: 26 June 2012

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2637

zbMATH Keywords

elliptic equationsisothermic surfacesLamé equationsseparation of variablesdiagonal \(n\)-dimensional metricsDupin cyclides

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Surfaces in Euclidean and related spaces (53A05) Euler-Poisson-Darboux equations (35Q05) PDEs on manifolds (35R01)

Related Items (2)

Internal and external harmonics in bi-cyclide coordinates ⋮ Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics

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