Dynamical Systems on Leibniz Algebroids

Details Dynamical Systems on Leibniz Algebroids Dynamical Systems on Leibniz Algebroids

2005-08-13

arxiv.org/abs/math/0508229v1

Mathematics

Differential Geometry

14 pages, 6 figures, the paper will be presented at The 5-th Conference of Balkan Society of Geometers, August 29-September 2,

Scientific paper

In this paper we study the differential systems on Leibniz algebroids. We introduce a class of almost metriplectic manifolds as a special case of Leibniz manifolds. Also, the notion of almost metriplectic algebroid is introduced. These types of algebroids are used in the presentation of associated differential systems. We give some interesting examples of differential systems on algebroids and the orbits of the solutions of corresponding systems are established.

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