7 citations · 14 across the 10 of their papers we have counts for
16 papers
Couplings of -anchored Bundles
Begüm Ateşli, Oğul Esen, Serkan Sütlü
This work develops an algebraic framework for merging two -anchored bundles over the same base manifold, equipped with mutual actions and two twisted cocycle terms, so as to obt…
Constructions of -Lie algebroids
Begüm Ateşli, Oğul Esen, Serkan Sütlü
The paper investigates the construction of Lie algebroids and -Lie algebroids via connections generated by finite families of differential operators and dual sections. We first…
On Product Lie Algebroids, and Collective Motion
Begüm Ateşli, Oğul Esen, Serkan Sütlü
This work explores the geometrical/algebraic framework of Lie algebroids, with a specific focus on the decoupling and coupling phenomena within the bicocycle double cross product r…
Dynamics Over Homogeneous Spaces
Filiz Çağatay Uçgun, Oğul Esen, Serkan Sütlü
We present the Euler-Lagrange and Hamilton's equations for a system whose configuration space is a unified product Lie group , for some . By redu…
Cohomologies and generalized derivation extensions of -Lie algebras
B. Ateşli, O. Esen, S. Sütlü
A cohomology theory, associated to a -Lie algebra and a representation space of it, is introduced. It is observed that this cohomology theory is qualified to encode the generali…
On Extensions, Lie-Poisson Systems, and Dissipations
Oğul Esen, Gökhan Özcan, Serkan Sütlü
On the dual space of \textit{extended structure}, equations governing the collective motion of two mutually interacting Lie-Poisson systems are derived. By including a twisted 2-co…