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

E G Kalnins and W Miller

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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.


PACS

02.40.Ky Riemannian geometries

02.40.Ma Global differential geometry

MSC

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

70H20 Hamilton-Jacobi equations

Subjects

Mathematical physics

Dates

Issue 7 (1 July 1982)



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