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Hamilton–Jacobi Theory and Moving Frames
Joshua D. MacArthura, Raymond G. McLenaghanb, Roman G. Smirnova a Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada, B3H 3J5
b Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1
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.
Keywords:
Hamilton–Jacobi theory; orthogonal separable coordinates; Killing tensors; group action; moving frame map; regular foliation.
Received: February 3, 2007; in final form May 14, 2007; Published online May 24, 2007
Citation:
Joshua D. MacArthur, Raymond G. McLenaghan, Roman G. Smirnov, “Hamilton–Jacobi Theory and Moving Frames”, SIGMA, 3 (2007), 070, 23 pp.
Linking options:
https://www.mathnet.ru/eng/sigma196 https://www.mathnet.ru/eng/sigma/v3/p70
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