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Geodesic equivalence and integrability - MaRDI portal

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Geodesic equivalence and integrability

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Publication:6503732

arXivmath/9911062MaRDI QIDQ6503732

Author name not available (Why is that?)


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.





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