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The Marsden–Weinstein reduction theorem for contact–symplectic pairs

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Abstract

We show that the classical Marsden–Weinstein Reduction theorem for Hamiltonian systems with symmetries is still true for contact–symplectic pairs.

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References

  1. Bande, G.: Couples contacto-symplectiques. Am. Math. Soc. 355(4), 1699–1711 (2002)

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  2. Marle, C.M.: Variétés symplectiques et variétés de Poisson. DEA. ffcel-00092952ff (2006)

  3. Marsden, J., Ratiu, T.: Reduction of Poisson manifold. Lett. Math. Phys. 11, 161–169 (1986)

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Correspondence to Yatma Mbodji.

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Mbodji, Y., Dathe, H. The Marsden–Weinstein reduction theorem for contact–symplectic pairs. Math Sci 14, 109–120 (2020). https://doi.org/10.1007/s40096-020-00321-0

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  • DOI: https://doi.org/10.1007/s40096-020-00321-0

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