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math-ph2023
Conformal and Contact Kinetic Dynamics and Their Geometrization
Oğul 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…
math-ph2017★ 7 cited
Reductions of Topologically Massive Gravity I: Hamiltonian Analysis of The Second Order Degenerate Lagrangians
Filiz Çağatay-Uçgun, Oğul Esen, Hasan Gümral
We study the Hamiltonian formalisms of the second order degenerate Clèment and Sarıoğlu-Tekin Lagrangians. The Dirac-Bergmann constraint algorithm is employed while arriving at the…
math-ph2012
Lie Algebra of Hamiltonian Vector Fields and the Poisson-Vlasov Equations
Oğul Esen, Hasan Gümral
We introduce natural differential geometric structures underlying the Poisson-Vlasov equations in momentum variables. We decompose the space of all vector fields over particle phas…