• Corpus ID: 115177289

Existence of Hamiltonian Structure in 3D

  title={Existence of Hamiltonian Structure in 3D},
  author={Hasan Gumral},
In three dimensions, the construction of bi-Hamiltonian structure can be reduced to the solutions of a Riccati equation with the arclength coordinate of a Frenet-Serret frame being the independent variable. Explicit integration of conserved quantities are connected with the coefficients of Riccati equation which are elements of the third cohomology class. All explicitly constructed examples of bi-Hamiltonian systems are exhausted when this class along with the first one vanishes. The latter… 
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