2 citations · 6 across the 20 of their papers we have counts for
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Dynamical Systems on Bundles
Mehmet Tekkoyun
In this study, Hamiltonian and Lagrangian theories, which are mathematical models of mechanical systems, are structured on the horizontal and the vertical distributions of tangent…
Lifts of Time Dependent Complex Hamiltonian Mechanical Systems
Mehmet Tekkoyun
In this study, firstly, the k-th order extension of complex product manifold is consid- ered. Then the higher order vertical, complete lifts of geometric structures on product mani…
Lagrangian and Hamiltonian Dynamics on Para-Kaehlerian Space Form
Mehmet Tekkoyun
In this study, we introduce Euler-Lagrange and Hamiltonian equations on (R2; g; J) being a model of para-Kaehlerian Space Forms. Finally, some geometrical and physical results on t…
Applications over Complex Lagrangians
Mehmet Tekkoyun, Erdal Ozusaglam, Ali Gorgulu
In this paper, Lagrangian formalisms of Classical Mechanics was deduced on Kaehlerian manifold being geometric model of a generalized Lagrange space.Then, it was given two applicat…
Lifts of Almost r-Contact and r-Paracontact Structures
Mehmet Tekkoyun
In this study, taking into considering lifting theory, we shall obtain both almost complex and paracomplex structures on the tangent bun- dle, based on almost Lorentzian r-contact…
Constrained Paracomplex Mechanical Systems
Mehmet Tekkoyun, Murat Sari
In this study, it is introduced paracomplex analogue of Lagrangians and Hamiltonians with constraints in the framework of para-Kaehlerian manifolds. The geometrical and mechanical…