Intrinsic characterisation of orthogonal separation of one coordinate in the Hamilton-Jacobi equation

DOI10.1088/0305-4470/15/7/012zbMath0495.70030OpenAlexW2087539217MaRDI QIDQ3959501

Willard jun. Miller, Ernest G. Kalnins

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1088/0305-4470/15/7/012

zbMATH Keywords

complete integralintrinsic coordinate- free characterization of orthogonal separationinvolutive family of Killing tensorsnon-null separable coordinateWoodhouse construction

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) General first-order partial differential equations and systems of first-order partial differential equations (35F99)

Related Items (2)

Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet ⋮ Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation

This page was built for publication: Intrinsic characterisation of orthogonal separation of one coordinate in the Hamilton-Jacobi equation