Year 2020, Volume 8 , Issue 1, Pages 159 - 167 2020-03-20

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

Kahraman Esen ÖZEN [1]


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.
Kinematics of a particle, Minkowski 3-space, Plane and space curves, Siacci
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Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0002-3299-6709
Author: Kahraman Esen ÖZEN (Primary Author)
Institution: SAKARYA ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ
Country: Turkey


Dates

Publication Date : March 20, 2020

Bibtex @research article { mathenot693053, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {159 - 167}, doi = {10.36753/mathenot.693053}, title = {Siacci's Theorem for Frenet Curves in Minkowski 3-Space}, key = {cite}, author = {Özen, Kahraman Esen} }
APA Özen, K . (2020). Siacci's Theorem for Frenet Curves in Minkowski 3-Space . Mathematical Sciences and Applications E-Notes , 8 (1) , 159-167 . DOI: 10.36753/mathenot.693053
MLA Özen, K . "Siacci's Theorem for Frenet Curves in Minkowski 3-Space" . Mathematical Sciences and Applications E-Notes 8 (2020 ): 159-167 <https://dergipark.org.tr/en/pub/mathenot/issue/53229/693053>
Chicago Özen, K . "Siacci's Theorem for Frenet Curves in Minkowski 3-Space". Mathematical Sciences and Applications E-Notes 8 (2020 ): 159-167
RIS TY - JOUR T1 - Siacci's Theorem for Frenet Curves in Minkowski 3-Space AU - Kahraman Esen Özen Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.693053 DO - 10.36753/mathenot.693053 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 159 EP - 167 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.693053 UR - https://doi.org/10.36753/mathenot.693053 Y2 - 2020 ER -
EndNote %0 Mathematical Sciences and Applications E-Notes Siacci's Theorem for Frenet Curves in Minkowski 3-Space %A Kahraman Esen Özen %T Siacci's Theorem for Frenet Curves in Minkowski 3-Space %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.693053 %U 10.36753/mathenot.693053
ISNAD Özen, Kahraman Esen . "Siacci's Theorem for Frenet Curves in Minkowski 3-Space". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 159-167 . https://doi.org/10.36753/mathenot.693053
AMA Özen K . Siacci's Theorem for Frenet Curves in Minkowski 3-Space. Math. Sci. Appl. E-Notes. 2020; 8(1): 159-167.
Vancouver Özen K . Siacci's Theorem for Frenet Curves in Minkowski 3-Space. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 159-167.
IEEE K. Özen , "Siacci's Theorem for Frenet Curves in Minkowski 3-Space", Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, pp. 159-167, Mar. 2020, doi:10.36753/mathenot.693053