Kalnins, Ernie G.Miller, W., Jr.2019-02-251980-01-012019-02-251980Kalnins, E. G., & Miller, W., Jr. (1980). Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations. SIAM Journal on Mathematical Analysis, 11(6), 1011–1026. https://doi.org/10.1137/05110890036-1410https://hdl.handle.net/10289/12373Every separable coordinate system for the Hamilton-Jacobi equation on a Riemannian manifold Vₙ corresponds to a family of n-1 Killing tensors in involution, but the converse is false. For general n we find a practical characterization of those involutive families of Killing tensors that correspond to variable separation, orthogonal or not.application/pdfen© 1981 Society for Industrial and Applied MathematicsScience & TechnologyPhysical SciencesMathematics, AppliedMathematicsJournal Article10.1137/0511089