Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space

Volume 5, Issue 2, Article 1 - 2018

Authors: Murat BEKAR ;Fouzi HATHOUT ;Yusuf YAYLI

Copyright © 2018 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

According to E. Study map in Minkowski space, we give in this present paper, a one-to-one correspondence between ”the curves on tangent bundles of Lorentzian (or de Sitter) unit sphere TS2 1 and hyperbolic unit sphere TH2” and ”the space-like or time-like ruled surface in E3 1”. In fact, we can consider each curve on TS2 1 or TH2 as a ruled surface in E3 1. Moreover, we study the relationships between the developability conditions of these corresponding ruled surfaces in E3 1 and their base and striction curves, and we show that if the curves on TS2 1 or TH2 are involute-evolute couples, then the corresponding ruled surfaces are developable.

How To Cite This Article

@article{BEKAR_2018, doi = {10.31559/glm2018.5.2.1}, url = {https://doi.org/10.31559%2Fglm2018.5.2.1}, year = 2018, publisher = {Refaad for Studies and Research}, volume = {5}, number = {2}, pages = {58--70}, author = {Murat BEKAR and Fouzi HATHOUT}, title = {Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space}, journal = {General Letters in Mathematics} }
BEKAR, M., & HATHOUT, F. (2018). Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space. General Letters in Mathematics, 5(2), 58–70. doi:10.31559/glm2018.5.2.1
[1]M. BEKAR and F. HATHOUT, “Tangent Bundle of Pseudo-sphere and Ruled Surfaces in Minkowski 3-space,” General Letters in Mathematics, vol. 5, no. 2, pp. 58–70, 2018.
BEKAR, Murat, and Fouzi HATHOUT. “Tangent Bundle of Pseudo-Sphere and Ruled Surfaces in Minkowski 3-Space.” General Letters in Mathematics 5, no. 2 (2018): 58–70. doi:10.31559/glm2018.5.2.1.