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On Spatial Mechanisms in Lorentzian 3-Space

Olgun DURMAZ

Let L4 be a 4-dimensional Lorentzian space with the sign (−,,,). The aim of this study is to investigate the other missing algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in L4. For this purpose, firstly, we obtain the structure equations of a spatial open chain using the equations of open chains of the Lorentz plane and Lorentz sphere. After then, using these structure equations, we search the algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in Lorentzian 3-space with respect to the causal characters of the first link and the axis of ro ...Дагы

On constraint manifolds of spatial closed chains in Lorentzian space

Olgun DURMAZ

The objective of this paper is to explore the unexplored algebraic representations of the constraint manifolds associated with 4C and 6C spatial closed chains in Lorentzian space. Initially, we establish the structure equations of spatial closed chains by utilizing the structure equations for spatial open chains in Lorentzian space. Subsequently, we employ these structure equations to derive the algebraic expressions defining the constraint manifolds of 4C and 6C spatial closed chains in Lorentzian space, considering factors such as the causal character of the first link and the rotational axi ...Дагы

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