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SIGMA 3 (2007), 070, 23 pages arXiv:0705.3628
https://doi.org/10.3842/SIGMA.2007.070
Contribution to the Vadim Kuznetsov Memorial Issue
Hamilton-Jacobi Theory and Moving Frames
Joshua D. MacArthur a, Raymond G. McLenaghan b and Roman G. Smirnov a
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
Received February 03, 2007, in final form May 14, 2007; Published online May 24, 2007
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.
Key words:
Hamilton-Jacobi theory; orthogonal separable coordinates; Killing tensors; group action; moving frame map; regular foliation.
pdf (432 kb)
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