A Study on the Bertrand Offsets of Timelike Ruled Surfaces in Minkowski 3-Space

• Published in: Symmetry (Basel) Vol. 14; no. 4; p. 783
• Main Authors: Abdel-Baky, Rashad A., Mofarreh, Fatemah
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2022
• Subjects: Bertrand offsets; binormal surface; dual angle of pitch; Minkowski space; Offsets

This work extends some classical results of Bertrand curves to timelike ruled and developable surfaces using the E. Study map. This provides support to define two timelike ruled surfaces which are offset in the sense of Bertrand. It is proved that every timelike ruled surface has a Bertrand offset i...