Displaying similar documents to “Divergences in formal variational calculus and boundary terms in Hamiltonian formalism”

Andrew Lenard: a mystery unraveled.

Praught, Jeffery, Smirnov, Roman G. (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Integrable hierarchies and the modular class

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...

Normal forms of vector fields on Poisson manifolds

Philippe Monnier, Nguyen Tien Zung (2006)

Annales mathématiques Blaise Pascal

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We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.