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Intrinsic characterisation of orthogonal separation of one coordinate in the Hamilton-Jacobi equation

E G Kalnins et al 1982 J. Phys. A: Math. Gen. 15 2003-2011   doi: 10.1088/0305-4470/15/7/012  Help

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E G Kalnins and W Miller
Math. Dept., Univ. of Waikato, Hamilton, New Zealand

Abstract. The authors extend an idea due to Woodhouse (1975) to give a coordinate-free characterisation of the orthogonal separation of one coordinate for the Hamilton-Jacobi equation on a pseudo-Riemannian manifold, in terms of an involutive family of Killing tensors. The coordinates can be computed from the Killing tensors.

Print publication: Issue 7 (1 July 1982)

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