7 citations · 14 across the 5 of their papers we have counts for
5 papers
Vertical and complete lifts of sections of a (dual) vector bundle and Legendre duality
E. Peyghan, C. M. Arcuş, L. Nourmohammadifar
Supplementary comments about generalized Lie algebroids are presented and a new point of view over the construction of the Lie algebroid generalized tangent bundle of a (dual) vect…
Weyl's Theory in the Generalized Lie Algebroids Framework
C. M. Arcus, E. Peyghan, E. Sharahi
The geometry of the Lie algebroid generalized tangent bundle of a generalized Lie algebroid is developed. Formulas of Ricci type and identities of Cartan and Bianchi type are prese…
Curvature collineations on Lie algebroid structure
C. M. Arcus, E. Peyghan, E. Sharahi
Considering prolongation of a Lie algebroid equipped with a spray, defining some classical tensors, we show that a Lie symmetry of a spray is a curvature collineation for these ten…
(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,…
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…