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Slant spacelike ruled surfaces and their Bertrand offsets

Research Authors
Rashad A. Abdel-Baky
Research Abstract

In this work, we investigate the synthesis problem of slant spacelike ruled
surfaces and associated Bertrand offsets (BO) in E3
1 (Minkowsk 3-space). We
provide the parametric equation for a non-developable spacelike ruled surface
(SLRS) by using the Blaschke frame (BF). This results in the amplitude to
control a family of curvature functions defining the domestic form of this
SLRS. Therefore, we found the appropriate SLRS criteria to be slant SLRS.
Thus, several new Bertrand offsets (BO) for slant SLRS are investigated and
constructed.

Research Date
Research Department
Research Journal
Fron. Phys
Research Publisher
Riccardo Meucci
Research Rank
Q2
Research Vol
Vol. 12, No. 1484936
Research Website
doi: 10.3389/fphy.2024.1484936
Research Year
2024
Research Pages
1–11