Login
Register
Submit a Paper
Propose a Special lssue
Open Access
ARTICLE
Some Geometric Invariants of Pseudo-Spherical Evolutes in the Hyperbolic 3-Space
Mathematics Department, Faculty of Science, Sohag University, 82524, Sohag, Egypt .
Mathematics Department, Faculty of Science, Islamic University of Madinah, 170 El-Madinah, KSA.
* Corresponding Author: M. Khalifa Saad. Email: .
Computers, Materials & Continua 2018, 57(3), 389-415. https://doi.org/10.32604/cmc.2018.02149
Download PDFAbstract
In this paper, we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space. We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establish some relationships between singularities of these curves and geometric invariants of curves under the action of the Lorentz group. Besides, we defray with illustration some computational examples in support our main results.Keywords
Cite This Article
APA Style
Abdel-Aziz, H.S., Saad, M.K., Abdel-Salam, A.A. (2018). Some geometric invariants of pseudo-spherical evolutes in the hyperbolic 3-space. Computers, Materials & Continua, 57(3), 389-415. https://doi.org/10.32604/cmc.2018.02149
Vancouver Style
Abdel-Aziz HS, Saad MK, Abdel-Salam AA. Some geometric invariants of pseudo-spherical evolutes in the hyperbolic 3-space. Comput Mater Contin. 2018;57(3):389-415 https://doi.org/10.32604/cmc.2018.02149
IEEE Style
H.S. Abdel-Aziz, M.K. Saad, and A.A. Abdel-Salam, “Some Geometric Invariants of Pseudo-Spherical Evolutes in the Hyperbolic 3-Space,” Comput. Mater. Contin., vol. 57, no. 3, pp. 389-415, 2018. https://doi.org/10.32604/cmc.2018.02149
Citations
Copyright © 2018 The Author(s). Published by Tech Science Press.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.
Downloads
Citation Tools
