7 citations · 9 across the 6 of their papers we have counts for
6 papers
The metrizability of the generalized tangent bundle of dual of a vector bundle
Constantin M. Arcuş
Two new classes of metrizable vector bundles have been presented in the papers [1] and [4]. The Lie algebroid generalized tangent bundle of a dual vector bundle is presented. This…
Metrizability of the Lie algebroid generalized tangent bundle and (generalized) Lagrange -spaces
Constantin M. Arcuş
A class of metrizable vector bundles in the general framework of generalized Lie algebroids have been presented in the eight reference. Using a generalized Lie algebroid we obtain…
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…