Dynamical Systems on Leibniz Algebroids
Abstract
Description
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.
14 pages, 6 figures, the paper will be presented at The 5-th Conference of Balkan Society of Geometers, August 29-September 2, 2005 Mangalia, Romania
14 pages, 6 figures, the paper will be presented at The 5-th Conference of Balkan Society of Geometers, August 29-September 2, 2005 Mangalia, Romania