Developable Surfaces through Spacelike Sweeping Surfaces in Minkowski 3–Space

Authors

Fatemah Mofarreh, Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi ArabiaFollow
Rashad A. Abdel-Baky, Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, EgyptFollow
Monia Fouad Naghi, Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

We investigate a spacelike sweeping surface with rotation minimizing frames at Minkowski 3–Space E31. Then, we state many results related to the differential geometry of sweeping surfaces that are resulted from these frames. Subsequently, the problem of constructing spacelike/timelike developable surfaces from that sweeping surfaces is analysed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150303

Recommended Citation

Mofarreh, Fatemah; A. Abdel-Baky, Rashad; and Fouad Naghi, Monia (2021) "Developable Surfaces through Spacelike Sweeping Surfaces in Minkowski 3–Space," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 3.
DOI: http://dx.doi.org/10.18576/amis/150303
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/3