Investigates compatibility between Poisson structures and metrics on tangent bundles of Poisson-Lie groups, indicating implications for geometric properties.
Let G be a Poisson-Lie group equipped with a left invariant Riemannian metric compatible with the Poisson structure on G .There are many ways to lift the Poisson structure and the metric to the tangent bundle T G of G.In this paper, we study in different cases the compatibility between the lifted Poisson structure and the lifted metric on T G.
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Aloui et al. (2018) studied this question.
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