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.

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