Hamilton–Jacobi Theory and Moving Frames Joshua D. MacArthur a ,
Raymond G. McLenaghan b ,
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 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.
MSC: 37J35 ;
53C12 Received: February 3, 2007 ; in final form
May 14, 2007 ; Published online
May 24, 2007
Language: English
DOI:
10.3842/SIGMA.2007.070
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