Hamilton-Jacobi theory and moving frames

DOI10.3842/SIGMA.2007.070zbMATH Open1138.37038arXiv0705.3628MaRDI QIDQ2473470

Roman G. Smirnov, Joshua D. MacArthur, Raymond G. McLenaghan

Publication date: 27 February 2008

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

Abstract: The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.

Full work available at URL: https://arxiv.org/abs/0705.3628

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zbMATH Keywords

Hamilton-Jacobi theoryfoliationsKilling tensormoving frame maporthogonal separation of variables

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Foliations (differential geometric aspects) (53C12) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (3)

Benenti's theorem and the method of moving frames ⋮ Moving frames hierarchy and BF theory ⋮ ACTION WITH ACCELERATION II: EUCLIDEAN HAMILTONIAN AND JORDAN BLOCKS

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