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Geodesic equivalence and integrability | Petar J. Topalov
; Vladimir S. Matveev
; | Date: |
10 Nov 1999 | Journal: | MPIM preprint series, no. 74 (1998) | Subject: | Differential Geometry; Symplectic Geometry; Exactly Solvable and Integrable Systems MSC-class: 53Cxx, 53Axx | math.DG math.SG nlin.SI solv-int | Abstract: | We suggest a construction that, given a trajectorial diffeomorphism between two Hamiltonian systems, produces integrals of them. As the main example we treat geodesic equivalence of metrics. We show that the existence of a non-trivially geodesically equivalent metric leads to Liouville integrability, and present explicit formulae for integrals. | Source: | arXiv, math.DG/9911062 | Services: | Forum | Review | PDF | Favorites |
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