A note on Poisson-Lie algebroids (I)
نویسنده
چکیده
In this paper we generalize the linear contravariant connection on Poisson manifolds to Lie algebroids and study its tensors of torsion and curvature. A Poisson connection which depends only on the Poisson bivector and structural functions of the Lie algebroid is given. The notions of complete and horizontal lifts are introduced and their compatibility conditions are pointed out. M.S.C. 2000: 53D17, 17B66, 53C05.
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