The geometry of dynamics.
Alberto Ibort Latre (1996)
Extracta Mathematicae
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Alberto Ibort Latre (1996)
Extracta Mathematicae
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Maltsev, Andrei Ya. (2002)
International Journal of Mathematics and Mathematical Sciences
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Praught, Jeffery, Smirnov, Roman G. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Pantelis A. Damianou, Rui Loja Fernandes (2008)
Annales de l’institut Fourier
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It is well-known that the Poisson-Nijenhuis manifolds, introduced by Kosmann-Schwarzbach and Magri form the appropriate setting for studying many classical integrable hierarchies. In order to define the hierarchy, one usually specifies in addition to the Poisson-Nijenhuis manifold a bi-hamiltonian vector field. In this paper we show that to every Poisson-Nijenhuis manifold one can associate a canonical vector field (no extra choices are involved!) which under an appropriate assumption...
Partha Guha (2004)
Archivum Mathematicum
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In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.
Choudhuri, Amitava, Talukdar, B., Das, U. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hentosh, Oksana Ye. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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