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Theorems on separability in Riemannian $n$-space


Authors: Parry Moon and Domina Eberle Spencer
Journal: Proc. Amer. Math. Soc. 3 (1952), 635-642
MSC: Primary 36.0X
DOI: https://doi.org/10.1090/S0002-9939-1952-0049439-7
MathSciNet review: 0049439
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    Paul Stäckel, Über die Integration der Hamilton-Jacobischen Differentialgleichung mittels Separation der Variabelen, Habilitationsschrift, Halle, 1891. ---, Sur une classe de problèmes de dynamique, C.R. Acad. Sci. Paris vol. 116 (1893) p. 485. ---, Über die Integration der Hamiltonschen Differentialgleichung mittels Separation der Variabelen, Math. Ann. vol. 49 (1897) p. 145. H. P. Robertson, Bemerkung über separierbare Systeme in der Wellenmechanik, Math. Ann. vol. 98 (1927) p. 749.
  • Luther Pfahler Eisenhart, Separable systems of Stackel, Ann. of Math. (2) 35 (1934), no. 2, 284–305. MR 1503163, DOI https://doi.org/10.2307/1968433
  • ---, Stäckel systems in conformal euclidean space, Ann. of Math. vol. 36 (1935) p. 57. P. M. Morse and H. Feshbach, Methods of theoretical physics, Cambridge, Technology Press, 1946.

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Article copyright: © Copyright 1952 American Mathematical Society