The Gauss-Landau-Hall problem on Riemannian surfaces

Journal of Mathematical Physics

Volumn 46, Issue 11, 2005, Pages

  Barros, Manuel ^a   Romero, Alfonso ^a   Cabrerizo, Joś L ^b   Fernández, Manuel ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28844441622     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2136215     Document Type: Article

References (26)

1. L. D. Landau and E. M. Lifschitz, Course of Theoretical Physics, Vol. 1. Mechanics, 3rd ed. (Pergamon, Oxford, New York, Toronto, 1976).
2. M. S. Plyushchay, Phys. Lett. B 243, 383 (1990).
3. M. S. Plyushchay, Int. J. Mod. Phys. A 4, 3851 (1989).
4. R. K. Sachs and H. Wu, General Relativity for Mathematicians, in Graduate Texts in Mathematics, 48 (Springer-Verlag, New York, 1977).
5. A. Romero and M. Sánchez (unpublished).
6. R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd. ed. (Perseus, Massachusetts, 1988).
7. B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity (Academic, New York, 1983).
8. A. Lopez-Almorox and C. Tejero, RACSAM Rev. R. Acad. Cien. Exactas Fis. Nat. Ser. A Mat. 95, 259 (2001).
9. K. Nomizu and H. Ozeki, Proc. Am. Math. Soc. 12, 889 (1961).
10. T. Adachi, Tsukuba J. Math. 20, 225 (1996).
11. A. Comtet, Ann. Phys. 173, 185 (1987).
12. N. Gouda, Tohoku Math. J. 0040-8735 49, 165 (1997); N. Gouda, J. Math. Soc. Jpn. 50, 767 (1998).
13. N. Gouda, Tohoku Math. J. 0040-8735 49, 165 (1997); N. Gouda, J. Math. Soc. Jpn. 50, 767 (1998).
14. D. A. Kalinin, Rep. Math. Phys. 39, 299 (1997).
15. A. Lopez-Almorox and C. Tejero-Prieto, Rev. R. Acad. Cien. Exactas Fis. Nat. Ser. A Mat. 95, 259 (2001).
16. G. P. Paternain and M. Paternain, Nonlinearity 10, 121 (1997).
17. M. P. Wojtkowski, Fund. Math. 163, 177 (2000).
18. J. Arroyo, Ph.D. thesis, UPV, 2001.
19. J. Arroyo, M. Barros, and O. J. Garay, J. Geom. Phys. 41, 65 (2002).
20. V. V. Nesterenko, A. Feoli, and G. Scarpetta, J. Math. Phys. 0022-2488 10.1063/1.531332 36, 5552 (1995); V. V. Nesterenko, A. Feoli, and G. Scarpetta, Class. Quantum Grav. 13, 1201 (1996).
21. V. V. Nesterenko, A. Feoli, and G. Scarpetta, J. Math. Phys. 0022-2488 10.1063/1.531332 36, 5552 (1995); V. V. Nesterenko, A. Feoli, and G. Scarpetta, Class. Quantum Grav. 13, 1201 (1996).
22. M. Barros, Gen. Relativ. Gravit. 34, 837 (2002).
23. M. S. Plyushchay, Mod. Phys. Lett. A 4, 837 (1989).
24. M. S. Plyushchay, hep-th9810101.
25. M. S. Ody and L. H. Ryder, Int. J. Mod. Phys. A 10, 337 (1995).
26. T. Tsurumaru and I. Tsutsui, Phys. Lett. B 460, 94 (1999).