A formula for Nijenhuis torsion and the uniqueness aspect of the inverse problem of Lagrangian dynamics

Journal of Physics A: Mathematical and General

Volumn 30, Issue 2, 1997, Pages 689-695

  Thompson, G ^a  

^a UNIVERSITY OF TOLEDO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040844829     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/2/028     Document Type: Article

References (11)

1. Anderson I and Thompson G 1992 The Inverse Problem of the Calculus of Variations for Ordinary Differential Equations (Memoirs of the AMS 473) (Providence, RI: AMS)
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3. Crampin M 1983 J. Phys. A: Math. Gen. 37 55
4. Crampin M, Marmo G and Rubano C 1983 Phys. Lett. 97A 88
5. Douglas J 1941 Trans Amr. Math. Soc: 50 71-128
6. Magri F and Morosi C 1984 A geometrical characterization of integrable Hamiltonian systems through the theory of Poisson-Nijenhuis manifolds Quaderno S. Univ. of Milan 19
7. Marden J E and Ratiu T S 1994 Introduction to Mechanics and Symmetry (Springer Texts in Applied Mathematics 17) (Berlin: Springer)
8. Morandi G, Ferrario C, lo Vecchio G, Marmo G and Rubano C 1990 Phys. Rep. 188 147-284
9. Nijenhuis A 1955 Akad. Wetensch Proc. Ser. A 58 390-403
10. Olver P 1986 Applications of Lie Groups to Differential Equations (Springer Graduate Texts in Math. 107) (Berlin: Springer)
11. Yano K and Ishihara S 1973 Tangent and Cotangent Bundles (New York: Dekker)