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math.DG2022★ 6 cited
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…
math.DG2022★ 16 cited
Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
O. Esen, M. de León, M. Lainz +2
In this survey, we review the classical Hamilton Jacobi theory from a geometric point of view in different geometric backgrounds. We propose a Hamilton Jacobi equation for differen…
math.DG2016★ 19 cited
Hamiltonian dynamics on matched pairs
Oğul Esen, Serkan Sütlü
It is shown that the cotangent bundle of a matched pair Lie group is itself a matched pair Lie group. The trivialization of the cotangent bundle of a matched pair Lie group are pre…