Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 3 (2007), 070, 23 pages      arXiv:0705.3628
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

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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