2 citations · 3 across the 4 of their papers we have counts for
8 papers
Generalized Lie Algebroids - Examples by Distinguished Lie Algebroids with Applications to Optimal Control
Constantin M. Arcus, Esmaeil Peyghan, Esa Sharahi
We will prove that the generalized Lie algebroid is a distinguished example by Lie algebroid. The generality of it with respect to the Lie algebroid is similar with the generality…
Exterior differential calculus in generalized Lie algebras(algebroids) category with applications to interior and exterior algebraic(differential) systems
C. M. Arcus, E. Peyghan
A new category of Lie algebras, called generalized Lie algebras, is presented such that classical Lie algebras and Lie-Rinehart algebras are objects of this new category. A new phi…
(Pseudo)Generalized Kaluza-Klein G-Spaces and Einstein Equations
C. M. Arcus, E. Peyghan
Introducing the Lie algebroid generalized tangent bundle of a Kaluza-Klein bundle, we develop the theory of general distinguished linear connections for this space. In particular,…
Intersection between the geometry of generalized Lie algebroids and some aspects of interior and exterior differential systems
Constantin M. Arcus
An exterior differential calculus in the general framework of generalized Lie algebroids is presented. A theorem of Maurer-Cartan type is obtained. All results with details proofs…
Mechanical Systems in the Generalized Lie Algebroids Framework
Constantin M. Arcus
\emph{Mechanical systems} called by use, \emph{mechanical}\emph{-systems, Lagrange mechanical}\emph{-systems} or \emph{Finsler mechanical}$\le…
Lagrangian Mechanics on Generalized Lie Algebroids
Constantin M. Arcus
A solution for the Weinstein's Problem in the general framework of generalized Lie algebroids is the target of this paper. We present the mechanical systems called by use, mechanic…