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Stäckel spaces

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Literature Cited

  1. G. Morera, “Separazione di variabili nelle equazioni del moto d'un punto su una superficie,” Atti della R. Acc. di Torino,1, No. 16, 276–295 (1880).

    Google Scholar 

  2. P. Stäckel, Ueber die Integration der Hamilton-Jacobischen Differentialgleichung mittelst Separation der Variabeln, Habilitations-schrift, Halle (1891).

  3. P. Stäckel, “Ueber die Bewegung eines Punktes in einer n-fachen Mannigfaltigkeit,” Math. Ann.,42, 537–563 (1893).

    Google Scholar 

  4. T. Levi-Civita, “Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili,” Math. Ann.,59, 383–397 (1904).

    Google Scholar 

  5. S. Agostinelli, “Sulle equazioni di Hamilton-Jacobi integrabili per separazione di variabili,” Atti del R. Instituto Veneto Scienze, Lettere ed Arti, Anno acc.,96, Part II, 141–161 (1936).

    Google Scholar 

  6. N. Forbat, “Sur l'integration par quadratures des équations de la dynamique,” These de Doctorat, Universités de Bruxelles et de Liége (1943).

  7. P. Stäckel, “Sur l'integration de l'équation diffèrentielle de Hamilton,” C. R. Acad. Sci. Paris,121, 489–492 (1895).

    Google Scholar 

  8. P. Havas, “Separation of variables in the Hamilton-Jacobi, Schrödinger and related equations. II. Partial separation,” J. Math. Phys.,16, No. 2, 2476–2483 (1975).

    Google Scholar 

  9. V. N. Shapovalov, “Symmetry of the equations of motion of a free particle in Riemann space,” Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 14–19 (1975).

    Google Scholar 

  10. C. G. J. Jacobi, Vorlesungen über Dynamik, 2nd. ed., G. Reimer, Berlin (1884).

    Google Scholar 

  11. G. Di Pirro, “Sugli integrali primi quadratici delle equazioni della meccanica,” Ann. Math., Ser. 2,24, 313–334 (1896).

    Google Scholar 

  12. T. Levi-Civita, “Sulle transformazioni della equazioni dinamiche,” Ann. Math. Ser. 2,24, 255–300 (1896).

    Google Scholar 

  13. N. Woodhouse, “Killing tensors and the separation of the Hamilton-Jacobi equation,” Commun. Math. Phys.,44, 9–38 (1975).

    Google Scholar 

  14. V. N. Shapovalov, “On the simultaneous reduction to canonic form of real linear and quadratic forms,” Deposited in VINITI as No. 1489-76 Dep.

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Authors
  1. V. N. Shapovalov
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Additional information

Kalmytskii State University, Élista. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 5, pp. 1117–1130, September–October, 1979.

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Shapovalov, V.N. Stäckel spaces. Sib Math J 20, 790–800 (1979). https://doi.org/10.1007/BF00971844

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