Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation

DOI10.1063/1.4861707zbMath1288.35191arXiv1404.3161OpenAlexW3103483747MaRDI QIDQ5414749

Krishan Rajaratnam, Raymond G. Mclenaghan

Publication date: 7 May 2014

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

Full work available at URL: https://arxiv.org/abs/1404.3161

zbMATH Keywords

orthogonal separable coordinatesKilling-Stäckel space

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Hamilton-Jacobi equations (35F21)

Related Items (9)

Classification of the orthogonal separable webs for the Hamilton-Jacobi and Klein-Gordon equations on 3-dimensional Minkowski space ⋮ Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space ⋮ Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Separability in Riemannian manifolds ⋮ Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces ⋮ Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature ⋮ Unnamed Item ⋮ Complete separability of the Hamilton–Jacobi equation for the charged particle orbits in a Liénard–Wiechert field

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