Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature

DOI10.1063/1.4893335zbMath1297.53034arXiv1404.2565OpenAlexW2082445248MaRDI QIDQ3189976

Krishan Rajaratnam, Raymond G. Mclenaghan

Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1404.2565

zbMATH Keywords

geodesic Hamilton-Jacobi equationBeneti systemKalnins-Eisenhart-Miller metricsorthogonal metrics

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

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 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

Cites Work

• Orthogonal separation of variables on manifolds with constant curvature
• Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton--Jacobi equation
• Decomposition of twisted and warped product nets
• Special symmetric two-tensors, equivalent dynamical systems, cofactor and bi-cofactor systems
• Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
• Riemannian Geometry
• Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation
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