Abstract
This is an expository paper. In it, the Poisson—Nijenhuis structures are motivated and defined in the general algebraic framework of Gel’fand and Dorfman. Then, in the particular case of Lie algebroids and differentiable manifolds, the Poisson—Nijenhuis structures are related to the notion of a complementary 2-form, that has been introduced and studied by the author in [20], and several examples of complementary forms and Poisson—Nijenhuis manifolds are given.
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Vaisman, I. (1997). A Lecture on Poisson—Nijenhuis Structures. In: Albert, C., Brouzet, R., Dufour, J.P. (eds) Integrable Systems and Foliations. Progress in Mathematics, vol 145. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4134-8_10
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DOI: https://doi.org/10.1007/978-1-4612-4134-8_10
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