Olgun DURMAZ

Article | 2024 | Mediterranean Journal of Mathematics21 ( 2 )

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 rotation of the joint. Keyword: 15A66; 53A . . .17; 53B30; 93B17; constraint manifold; primary 15A30; secondary 70B15; spatial open chain; split quaternion; structure equatio More less