%0 Journal Article %T Hamilton-Jacobi Theory and Moving Frames %A Joshua D. MacArthur %A Raymond G. McLenaghan %A Roman G. Smirnov %J Symmetry, Integrability and Geometry : Methods and Applications %D 2007 %I National Academy of Science of Ukraine %X The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples. %K Hamilton-Jacobi theory %K orthogonal separable coordinates %K Killing tensors %K group action %K moving frame map %K regular foliation %U http://www.emis.de/journals/SIGMA/2007/070/