The lie bialgebroid of a Poisson-Nijenhuis manifold

Author:

Kosmann-Schwarzbach Yvette

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference19 articles.

1. Beltrán, J. V. and Monterde, J.: Poisson-Nijenhuis structures and the Vinogradov bracket,Ann. Global Anal. Geom. 12 (1994), 65–78.

2. Carathéodory, C.:Variationsrechnung und Partielle Differentialgleichungen Erster Ordnung, Teubner, Berlin 1935; English translation:Calculus of Variations and Partial Differential Equations of the First Order, vol. 1, Holden-Day, 1965, chapter 9.

3. Coste, A., Dazord, P. and Weinstein, A.: Groupoïdes symplectiques, Publ. Univ. Lyon-I, 2-A (1987).

4. Dorfman, I. Ya.:Dirac Structures and Integrability of Nonlinear Evolution Equations, Wiley, New York, 1993.

5. Drinfeld, V. G.: Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter equations,Soviet Math. Dokl. 27(1) (1983), 68–71.

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