Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space
Joint Authors
Bakkar, Murad
Hathut, Fawzi
Yayli, Yusuf
Source
General Letters in Mathematics
Issue
Vol. 5, Issue 2 (31 Oct. 2018), pp.58-70, 13 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2018-10-31
Country of Publication
Jordan
No. of Pages
13
Main Subjects
Abstract EN
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 TS21 and hyperbolic unit sphere TH2" and "the space-like or time-like ruled surface in E31 ".
In fact, we can consider each curve on TS21 or TH2 as a ruled surface in E31 .
Moreover, we study the relationships between the developability conditions of these corresponding ruled surfaces in E31 and their base and striction curves, and we show that if the curves on TS21 or TH2 are involute-evolute couples, then the corresponding ruled surfaces are developable.
American Psychological Association (APA)
Bakkar, Murad& Hathut, Fawzi& Yayli, Yusuf. 2018. Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space. General Letters in Mathematics،Vol. 5, no. 2, pp.58-70.
https://search.emarefa.net/detail/BIM-937711
Modern Language Association (MLA)
Bakkar, Murad…[et al.]. Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space. General Letters in Mathematics Vol. 5, no. 2 (Oct. 2018), pp.58-70.
https://search.emarefa.net/detail/BIM-937711
American Medical Association (AMA)
Bakkar, Murad& Hathut, Fawzi& Yayli, Yusuf. Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space. General Letters in Mathematics. 2018. Vol. 5, no. 2, pp.58-70.
https://search.emarefa.net/detail/BIM-937711
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 69-70
Record ID
BIM-937711