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7 papers · 1 filter
Reformulation of continuum defects in terms of the general teleparallel geometry in the language of exterior algebra
Muzaffer Adak, Tekin Dereli, Ertan Kok +1
We discuss the geometric formulation of continuum defects consisting of dislocations and disclinations. After reviewing the metric affine geometry and the present geometric formula…
Lagrangian Mechanics on Quaternion Kaehler Manifolds
Mehmet Tekkoyun
The aim of this study is to introduce quaterinon Kaehler analogue of Lagrangian mechanics. Finally, the geometric and physical results related to quaternion Kaehler dynamical syste…
Hamilton Dynamics on Clifford Kaehler Manifolds
Mehmet Tekkoyun
This paper presents Hamilton dynamics on Clifford Kaeler manifolds. In the end, the some results related to Clifford Kaehler dynamical systems are also discussed.
Lagrangian Dynamics on Clifford Kaehler Manifolds
Mehmet Tekkoyun
In this study, Clifford Kaehler analogue of Lagrangian dynamics is introduced. Also,the some geometrical and physical results over the obtained Clifford Kaehler dynamical systems a…
Hamiltonian Mechanics on Quaternion Kaehler Manifolds
Mehmet Tekkoyun
The goal of this study is to present quaternion Kaehler analogue of Hamiltonian mechanics. Finally, the some results related to quaternion Kaehler dynamical systems were also given…
Complex Dynamics Effect on Distributions
Mehmet Tekkoyun
In this study, Lagrangian and Hamiltonian systems, which are mathematical models of mechanical systems, were introduced on the horizontal and the vertical distributions of tangent…