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  • Mathematical Sciences and Applications E-Notes
  • Volume:8 Issue:1
  • Siacci`s Theorem for Frenet Curves in Minkowski 3-Space

Siacci`s Theorem for Frenet Curves in Minkowski 3-Space

Authors : Kahraman Esen ÖZEN
Pages : 159-167
Doi:10.36753/mathenot.693053
View : 42 | Download : 10
Publication Date : 2020-03-20
Article Type : Research Paper
Abstract :For motion of a material point along a space curve, due to Siacci [1], a resolution of the acceleration vector is well known. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane to the curve. In this paper, we have studied the Siacci’s theorem for non-relativistic particles moving along the Frenet curves at very low speeds relative to the speed of light in Minkowski 3-space. Moreover, an illustrative example is given to show how the aforesaid theorem works. This theorem is a new contribution to the field and it may be useful for some specific applications in mathematical and computational physics.
Keywords : Kinematics of a particle, Minkowski 3 space, Plane and space curves, Siacci

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