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math.SG2023
Global Compatibility of Bi-Hamiltonian Structures on Three Dimensional Manifolds
Beste Madran, Ender Abadoğlu
It is shown in \cite{yazar6} that a dynamical system defined by a nonvanishing vector field on an orientable three dimensional manifold is globally bi-Hamiltonian if and only if th…
math.SG2016★ 3 cited
Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
Melike Işim Efe, Ender Abadoğlu
In this work, we show that an autonomous dynamical system defined by a nonvanishing vector field on an orientable three-dimensional manifold is globally bi-Hamiltonian if and only…