Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space

Author:

Cochran Caroline M.1,McLenaghan Raymond G.2,Smirnov Roman G.3

Affiliation:

1. Department of Mathematics and Statistics, Acadia University, 15 University Ave., Wolfville, Nova Scotia B4P 2R6, Canada

2. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

3. Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia B3H 3J5, Canada

Funder

Natural Sciences and Engineering Research Council of Canada (NSERC)

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference58 articles.

1. Adlam, C. M., McLenaghan, R. G., and Smirnov, R. G., “On geometric properties of joint invariants of Killing tensors,” in Symmetries and Overdetermined Systems of Partial Differential Equations, The IMA Volumes in Mathematics and its Applications, edited by Eastwood, M. and Miller, Jr., W. (Springer-Verlag, New York, 2008), Vol. 144, pp. 205–222.

2. Benenti, S., “Inertia tensors and Stäkel systems in Euclidean space,” Rend. Semin. Mat. Univ. Polit. Torino 50, 315–341 (1992).

3. Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation

4. Special Symmetric Two-tensors, Equivalent Dynamical Systems, Cofactor and Bi-cofactor Systems

5. Bertrand, J. M., “Mémoire sur quelques-unes des forms les plus simples que puissent présenter les intégrales des équations différentielles du mouvement d’un point matériel,” J. Math. Pures Appl. 2, 113–140 (1857).

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