A new look at the Schouten-Nijenhuis, Frölicher-Nijenhuis, and Nijenhuis-Richardson brackets

Journal of Mathematical Physics

Volumn 41, Issue 4, 2000, Pages 1916-1933

  Gozzi, E ^a   Mauro, D ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347143     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533218     Document Type: Article

References (12)

1. E. Gozzi, M. Reuter, and W. D. Thacker, Phys. Rev. D 40, 3363 (1989).
2. B. O. Koopman, Proc. Natl. Acad. Sci. USA 17, 315 (1931); J. von Neumann, Ann. Math. 33, 587 (1932).
3. B. O. Koopman, Proc. Natl. Acad. Sci. USA 17, 315 (1931); J. von Neumann, Ann. Math. 33, 587 (1932).
4. E. Gozzi and M. Regini, Hep-th/9903136 (to be published in Phys. Rev. D).
5. R. Abraham and J. Marsden, Foundations of Mechanics (Benjamin, New York, 1978).
6. G. Jona-Lasinio and P. K. Mitter, Commun. Math. Phys. 101, 409 (1985).
7. A. Schwarz, in Topics in Statistical and Theoretical Physics, in American Mathematical Society translations, Series 2, v. 177, 1996.
8. This is so not only under the Hamiltonian flow but under any diffeomorphism: see Ref. 3 for details.
9. I. Vaisman, Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Basel, 1994).
10. k(M,TM), is the one of Ref. 10.
11. I. Kolář, P. W. Michor, and J. Slovák, Natural Operations in Differential Geometry (Springer, Berlin, 1993).
12. K. H. Bhaskara and K. Viswanath, Poisson Algebras and Poisson Manifolds (Longman Scientific & Technical, Wiley, New York, 1988).