1 citations · 1 across the 4 of their papers we have counts for
10 papers
A Discrete Hamilton--Jacobi Theory for Contact Hamiltonian Dynamics
Oğul Esen, Cristina Sardón, Marcin Zajac
In this paper, we propose a discrete Hamilton--Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geo…
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…
-flows Generated by the Curl of a Vector Potential \& Maurer-Cartan Equations
Oğul Esen, Partha Guha, Hasan Gümral
We examine flows admitting vector identity for a multiplier and a potential field $\mathbf{…
The globalization problem of the Hamilton-DeDonder-Weyl equations on a local -symplectic framework
Oğul Esen, Manuel de León, Cristina Sardón +1
In this paper we aim at addressing the globalization problem of Hamilton-DeDonder-Weyl equations on a local -symplectic framework and we introduce the notion of {\it locally con…
Reductions of Topologically Massive Gravity II: First Order Realizations of Second Order Lagrangians
Filiz Çağatay Uçgun, Oğul Esen, Hasan Gümral
Second order degenerate Clèment and Sarıoğlu-Tekin Lagrangians are casted into forms of various first order Lagrangians. Hamiltonian analysis of these equivalent formalisms are per…
On the quest for generalized Hamiltonian descriptions of -flows generated by curl of a vector potential
Oğul Esen, Partha Guha
We study Hamiltonian analysis of three-dimensional advection flow of incompressible nature assuming that dyna…