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Infinite-Hamiltonian Structures Of The Riemann Equation, Refi̇k Turhan
Infinite-Hamiltonian Structures Of The Riemann Equation, Refi̇k Turhan
Turkish Journal of Physics
We give two distinct infinite-Hamiltonian representations for the Riemann equation. One with first order Hamiltonian operators and another with third order-first order Hamiltonian operators. Both representations contain an arbitrary function of the dynamical variable. We prove that all the Hamiltonian operators of the Riemann equation are mutually compatible.
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
Turkish Journal of Mathematics
In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.