6 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 Geometry of Dissipation in Multiscale Dynamics and Thermodynamics
Begüm Ateşli, Oğul Esen, Miroslav Grmela +1
This manuscript introduces novel approaches to three phenomena. First, we extend the algebraic formulation of kinetic theory within the contact framework by making explicit the gau…
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…
On Non-autonomous Hamiltonian Dynamics, Dual Spaces, and Kinetic Lifts
Begüm Ateşli, Oğul Esen, Manuel de León +1
Vlasov kinetic theory is the dynamics of a bunch of particles flowing according to symplectic Hamiltonian dynamics. More recently, this geometry has been extended to contact Hamilt…
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…