Lie algebroid structures on a class of affine bundles

Journal of Mathematical Physics

Volumn 43, Issue 11, 2002, Pages 5654-5674

  Sarlet, W ^a   Mestdag, T ^a   Martinez E ^b  

^a GHENT UNIVERSITY   (Belgium)

^b UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036850829     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1510958     Document Type: Article

References (14)

1. J.F. Cariñena, in Symmetries in Quantum Mechanics and Quantum Optics (University of Burgos, Spain, 1999), p. 67.
2. J.F. Cariñena and E. Martínez, in Lie Algebroids and Related Topics in Differential Geometry (Banach Center, Warsaw, 2001), Vol. 54, p. 201.
3. J. Clemente-Gallardo, in Nonlinear Control in the New Millenium, edited by F. Lamnabhi-Lagarrigur, W. Respondek, and A. Isidori (Springer Verlag, New York, 2000).
4. P. Libermann, Arch. Math. (Brno) 32, 147 (1996).
5. E. Martínez, Acta. Appl. Math. 67, 295 (2001).
6. A. Weinstein, in Mechanics Day (Waterloo, ON, 1992), Fields Institute Communications 7 (American Mathematical Society, Providence, 1996), p. 207.
7. W. Sarlet, T. Mestdag, and E. Martínez, in Differential Geometry and its Applications, Proc. 8th Int. Conf. (Opava 2001), edited by O. Kowalski, J. Slovak, and D. Krupka, to appear.
8. M. Crampin, Jet Bundle Techniques in Analytical Mechanics, Quaderni del consiglio nazionale delle ricerche, gruppo nazionale di fisica matematica Vol. 47 (1995).
9. K. Mackenzie, Lie Groupoids and Lie Algebroids in Differential Geometry, London Mathematical Society Lecture Note Series 124 (Cambridge University Press, Cambridge, 1987).
10. J. Grabowski and P. Urbanski, Ann. Global An. Geom. 15, 447 (1997).
11. J. Grabowski and P. Urbanski, Rep. Math. Phys. 40, 195 (1997).
12. A. Frölicher and A. Nijenhuis, Proc. Ned. Acad. Wetensch. Sér. 59, 338 (1956).
13. E. Martínez, T. Mestdag, and W. Sarlet, math.DG/0203178; J. Geom. Phys. to appear.
14. J. Grabowski, K. Grabowska, and P. Urbanski, math. DG/0203112.