6 citations · 6 across the 3 of their papers we have counts for
5 papers
On Continuum Theories in a Locally Conformal Setting
Begüm Ateşli, Oğul Esen, Miroslav Grmela +1
We study continuum and kinetic dynamics on locally conformally symplectic (LCS) and locally conformally cosymplectic (LCCos) manifolds. The main geometric tool is the Lichnerowicz-…
Locally Conformal Analysis of Non-Degenerate Odd Pairs
Begüm Ateşli, Aybike Çatal-Özer, Oğul Esen
We study the locally conformal geometry of cosymplectic and coorientable contact manifolds within a common algebraic framework based on a non-degenerate odd pair: a one-form and a…
Contact Geometry of Relativistic Particle Motion
Begum Atesli, Ogul Esen, Michal Pavelka
We introduce a new geometric framework for relativistic particle dynamics based on contact geometry and suitable for treating dissipative processes like particle decay. The dynamic…
On Globalization Problem of Multi-Hamiltonian Formalisms
Begüm Ateşli, Aybike Çatal-Özer
The globalization problem arises when local tensor fields possess a given property (such as being symplectic or Poisson) but cannot be consistently extended to a global object due…
On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory
Begüm Ateşli, Oğul Esen, Manuel de León +1
Cosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem o…