Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space

Saad, M. Khalifa; Abd-Rabo, M. A.

doi:10.28924/2291-8639-17-2019-479

Research Article

Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space

M. Khalifa Saad¹*
M. A. Abd-Rabo²

Mathematics Department, Faculty of Science, Sohag University, Egypt. and Mathematics Department, Faculty of Science, Islamic University of Madinah, KSA.
Math. Dept., Faculty of Science, Al-Azhar Univ., Assuit branch, Assiut 71524, EGYPT and School of Math and Statistics, Zhengzhou Univ., 450001 Zhengzhou, CHINA

* Corresponding author

Abstract

In this paper, we study some special Smarandache curves and their differential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4. Moreover, we defray some computational examples in support our main results.

How to Cite

M. K. Saad, M. A. Abd-Rabo, Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space, Int. J. Anal. Appl. 17 (2019), 479–502. https://doi.org/10.28924/2291-8639-17-2019-479

BibTeX

@article{Saad2019,
  author  = {Saad, M. Khalifa and Abd-Rabo, M. A.},
  title   = {Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space},
  journal = {Int. J. Anal. Appl.},
  volume  = {17},
  year    = {2019},
  pages   = {479--502},
  doi     = {10.28924/2291-8639-17-2019-479}
}

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