Almost Kähler Ricci Flows and Einstein and Lagrange–Finsler Structures on Lie Algebroids

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Poisson Structures on Lie Algebroids

In this paper the properties of Lie algebroids with Poisson structures are investigated. We generalize some results of Fernandes [1] regarding linear contravariant connections on Poisson manifolds at the level of Lie algebroids. In the last part, the notions of complete and horizontal lifts on the prolongation of Lie algebroid are studied and their compatibility conditions are pointed out.

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ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2014

ISSN: 1660-5446,1660-5454

DOI: 10.1007/s00009-014-0461-7