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Timelike sweeping surfaces and singularities

Research Authors
Monia Fouad Naghi and Rashad A. Abdel-Baky
Research Abstract

We consider a timelike sweeping surface with rotation minimizing frames in Minkowski 3-
Space E31. We introduce a new geometric “invariant”, which demonstrates the geometric
properties and local singularities of the surface. Subsequently, we give the sufficient
and necessary conditions for this surface to be a developable ruled surface. Finally, the
singularities of these ruled surfaces are investigated.

Research Date
Research Department
Research File
Research Journal
Int. J. of Geometric Methods in Modern Physics
Research Publisher
World Scientific
Research Rank
Q2
Research Vol
Vol. 18, No. 1
Research Website
www.worldscientific. com
Research Year
2021
Research Pages
2150006 (1-17 )