Publication Cover
Applicable Analysis
An International Journal
Volume 13, 1982 - Issue 2
17
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Nonpolynomial constants of the motion and partial separation of the hamilton—jacobi equation

&
Pages 127-137 | Received 25 Jun 1981, Published online: 10 May 2007

References

  • Woodhouse , N. M. J. 1975 . Killing tensors and the separation of the Hamilton—Jacobi equation . Commun. Math. Phys , 44 : 9 – 38 .
  • Benenti , S. and Francaviglia , M. 1949 . “ The theory of separability of the Hamilton—Jacobi equation and its applications to general relativity. ” . In In General Relativity and Gravitation , Edited by: Held , A. Vol. 1 , Princeton : Princeton University Press . Plenum New York 1980
  • Boyer , C. P. , Kalnins , E. G. and Miller , W. Jr. 1978 . Separable coordinates for four-dimensional Riemannian spaces . Commun. Math. Phys. , 59 : 285 – 302 .
  • Kalnins , E. G. and Miller , W. Jr. 1979 . Non-orthogonal separable coordinate systems for the flat 4-space Helmholtz equation . J. Phys. A. Math. Gen. , 12 : 1129 – 1147 .
  • Kalnins , E. G. and Miller , W. Jr. 1981 . Killing tensors and nonorthogonal variable separation for Hamilton—Jacobi equations . SIAM J. Math. Anal. , 12 : 617 – 629 .
  • Benenti , S. 1979 . Lecture Notes in Mathematics . “Conference on Differential Geometric Methods in Mathematical Physics“ . 1979 , Salamanca. Springer-Verlag . Separability structures on Riemannian manifolds, Proceedings of
  • Benenti , S. 1904 . Sulla integrazione della equazione di Hamilton—Jacobi per separazione di variabili . Math. Ann. , 59 : 383 – 397 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.