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math.DG2024
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…
math.DG2023
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…