Separability structures corresponding to conservative dynamical systems

DOI10.1007/BF01556323zbMath0573.70012MaRDI QIDQ1062776

Giorgio Pidello, Sergio Benenti

Publication date: 1984

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldcomplete integrabilityLevi-Cività separability conditionsmetric g of any signaturenormal separable coordinates

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Applications of local differential geometry to the sciences (53B50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (2)

Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities

Cites Work

• Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. I. Complete separation
• Separation of variables in the Hamilton-Jacobi equation for non-conservative systems
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