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A comment on the integrability conditions of the conformal Killing equation

โœ Scribed by C. D. Collinson


Publisher
Springer US
Year
1989
Tongue
English
Weight
55 KB
Volume
21
Category
Article
ISSN
0001-7701

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Conformal Killing tensors with vanishing
โœ M Crampin ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

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 cla