Canonical forms for separability structures with less than five Killing tensors

Sergio Benenti; Mauro Francaviglia

Annales de l'I.H.P. Physique théorique (1981)

  • Volume: 34, Issue: 1, page 45-64
  • ISSN: 0246-0211

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Benenti, Sergio, and Francaviglia, Mauro. "Canonical forms for separability structures with less than five Killing tensors." Annales de l'I.H.P. Physique théorique 34.1 (1981): 45-64. <http://eudml.org/doc/76106>.

@article{Benenti1981,
author = {Benenti, Sergio, Francaviglia, Mauro},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Hamilton-Jacobi equation; separability structure; stacked matrix},
language = {eng},
number = {1},
pages = {45-64},
publisher = {Gauthier-Villars},
title = {Canonical forms for separability structures with less than five Killing tensors},
url = {http://eudml.org/doc/76106},
volume = {34},
year = {1981},
}

TY - JOUR
AU - Benenti, Sergio
AU - Francaviglia, Mauro
TI - Canonical forms for separability structures with less than five Killing tensors
JO - Annales de l'I.H.P. Physique théorique
PY - 1981
PB - Gauthier-Villars
VL - 34
IS - 1
SP - 45
EP - 64
LA - eng
KW - Hamilton-Jacobi equation; separability structure; stacked matrix
UR - http://eudml.org/doc/76106
ER -

References

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  1. [1] S. Benenti, Rend. Sem. Mat. Univ. Pol. Torino, t. 34, 1975-1976, p. 431-463. Zbl0346.53008MR474131
  2. [2] S. Benenti, C. R. A. S., Paris, t. 283 A, 1976, p. 215-218 ; Rep. Math. Phys., t. 12, 1977, p. 311-316. Zbl0349.53014MR433506
  3. [3] S. Benenti, C. R. A. S., Paris, t. 289 A, 1979, p. 795-798. Zbl0431.53020MR558800
  4. [4] S. Benenti, Separability structures in Riemannian manifolds, in: Proceed. Conf. Diff. Geom. Methods in Math. Phys., Salamanca, 1979, P. Garcia and A. Perez–Randon Eds. (Lect. Notes in Math; Springer, forthcoming). Zbl0465.53027
  5. [5] S. Benenti, M. Francaviglia, Ann. Inst. H. Poincaré, t. 30, 1979, p. 143-157. Zbl0459.53019MR535370
  6. [6] R. Kalnins, J.W. Miller, Killing tensors and nonorthogonal variable separation for Hamilton-Jacobi equations, preprint, 1980. Zbl0466.70024
  7. [7] T. Levi-Civita, Math. Ann., t. 59, 1904, p. 383-397. MR1511275JFM35.0362.02
  8. [8] S. Benenti, M. Francaviglia, GRG Journal, t. 10, 1979, p. 79-92. Zbl0438.53023
  9. [9] B. Carter, Comm. Math. Phys., t. 10, 1968, p. 280-310. Zbl0162.59302MR239841
  10. [10] C. Boyer, R. Kalnins, J.W. Miller, Comm. Math. Phys., t. 59, 1978, p. 285- 302. Zbl0377.53009MR488109
  11. [11] S. Benenti, M. Francaviglia, The theory of separability of the Hamilton-Jacobi equation and its applications to General Relativity, Ch. 13, in: General Relativity and Gravitation, vol. I, A. Held Ed. (Plenum Press, New York, 1980). MR583725
  12. [12] M. Francaviglia, Separability of Einstein space-times: the state of the art, in: Procceeding 2nd Marcell Grossmann Meeting, Trieste1979, R. Ruffini Ed. (forthcoming). MR678953
  13. [13] M. Francaviglia, On the canonical forms of all separable metrics (in preparation). 
  14. [14] C. Boyer, Separation of variables in Einstein spaces II. No ignorable coordinates, preprint n. 217, Inst. de Invest. en Mat. Aplicadas y en Sistemas, Univ. of Mexico City, 1979 ; forthcoming in GRG Journal. Zbl0467.53018MR601482

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