6 papers
Couplings of -anchored Bundles
Begüm AteÅli, OÄul 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 AteÅli, OÄul 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 AteÅli, OÄul 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 AteÅli, OÄul 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…
[Locally Conformal Higher Order Lagrangian Dynamics
Serdar Ãite, OÄul Esen
This work presents higher order Lagrangian dynamics possessing locally conformal character. More concretely, locally conformal higher order Euler-Lagrange equations are written wit…
Conformal and Contact Kinetic Dynamics and Their Geometrization
OÄul Esen, Ayten Gezici, Miroslav Grmela +3
We propose a conformal generalization of the reversible Vlasov equation of kinetic plasma dynamics, called conformal kinetic theory. In order to arrive at this formalism, we start…