4 papers · 1 filter
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…
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…