Table of Content

Open Access iconOpen Access

ARTICLE

On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space

H. S. Abdel-Aziz1, M. Khalifa Saad1,2,*

Math. Dept., Faculty of Science, Sohag University, 82524 Sohag, Egypt .
Math. Dept., Faculty of Science, Islamic University of Madinah, 170 El -Madinah, KSA.

* Corresponding author: M. Khalifa Saad. Email: email.

Computers, Materials & Continua 2018, 54(3), 229-249. https://doi.org/10.3970/cmc.2018.054.229

Abstract

In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric properties and the uses in various fields, we are interested here to study a special kind of curves called Smarandache curves in Lorentz 3-space. Then, we present some characterizations for these curves and calculate their Darboux invariants. Moreover, we classify TP, TU, PU and TPU-Smarandache curves of a spacelike curve according to the causal character of the vector, curve and surface used in the study. Besides, we give some of differential geometric properties and important relations between that curves. Finally, to demonstrate our theoretical results a computational example is given with graph.

Keywords


Cite This Article

APA Style
Abdel-Aziz, H.S., Saad, M.K. (2018). On special curves according to darboux frame in the three dimensional lorentz space. Computers, Materials & Continua, 54(3), 229-249. https://doi.org/10.3970/cmc.2018.054.229
Vancouver Style
Abdel-Aziz HS, Saad MK. On special curves according to darboux frame in the three dimensional lorentz space. Comput Mater Contin. 2018;54(3):229-249 https://doi.org/10.3970/cmc.2018.054.229
IEEE Style
H.S. Abdel-Aziz and M.K. Saad, "On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space," Comput. Mater. Contin., vol. 54, no. 3, pp. 229-249. 2018. https://doi.org/10.3970/cmc.2018.054.229



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1846

    View

  • 1196

    Download

  • 0

    Like

Share Link