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Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton–Jacobi equation

✍ Scribed by M Crampin

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 144 KB
Volume: 18
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(02)00140-7

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✦ Synopsis

If a Riemannian manifold admits a conformal Killing tensor whose torsion, in the sense of Nijenhuis, vanishes, and whose eigenfunctions are independent, then the Hamilton-Jacobi equation for its geodesics is solvable by separation of variables. The paper is devoted to developing a theory of this class of conformal Killing tensors, including an explanation of this result.