Journal of Lie Theory

no. 2
Hawkins Compatibility Conditions on the Tangent Bundle of a Poisson-Lie Group
Journal of Lie Theory, Volume 28 (2018) no. 2, pp. 499-524
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 TG of G. In this paper, we study in different cases the compatibility between the lifted Poisson structure and the lifted metric on TG.
DOI: 10.5802/jolt.1011
Classification: 53D17, 58B20, 70G65
Keywords: Poisson geometry, Riemannian geometry, Lie group, Lie algebra 
@article{JOLT_2018_28_2_a8,
     author = {F. Aloui and N. Zaalani},
     title = {Hawkins {Compatibility} {Conditions} on the {Tangent} {Bundle} of a {Poisson-Lie} {Group}},
     journal = {Journal of Lie Theory},
     pages = {499--524},
     year = {2018},
     volume = {28},
     number = {2},
     doi = {10.5802/jolt.1011},
     zbl = {1393.53084},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1011/}
}
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%J Journal of Lie Theory
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F. Aloui; N. Zaalani. Hawkins Compatibility Conditions on the Tangent Bundle of a Poisson-Lie Group. Journal of Lie Theory, Volume 28 (2018) no. 2, pp. 499-524. doi: 10.5802/jolt.1011

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