7 citations · 9 across the 6 of their papers we have counts for
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Legendre Duality Between Lagrangian and Hamiltonian Mechanics
Constantin M. Arcuş
In some previous papers, a Legendre duality between Lagrangian and Hamiltonian Mechanics has been developed. The (ρ,η)-tangent application of the Legendre bundle morphism associate…
Hamiltonian Mechanics on Duals of Generalized Lie Algebroids
Constantin M. Arcuş
A new description, different by the classical theory of Hamiltonian Mechanics, in the general framework of generalized Lie algebroids is presented. In the particular case of Lie al…
Interior and Exterior Differential Systems for Lie Algebroids
Constantin M. ArcuŞ
A theorem of Maurer-Cartan type for Lie algebroids is presented. Suppose that any vector subbundle of a Lie algebroid is called interior differential system (IDS) for that Lie alge…
The generalized Lie algebroids and their applications
Constantin M. Arcuş
In this paper we introduce the notion of generalized Lie algebroid and we develop a new formalism necessary to obtain a new solution for the Weistein's Problem. Many applications e…