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On the Blaschke approach of Bertrand offsets of spacelike ruled surfaces

Research Authors
Maryam T. Aldossary and Rashad A. Abdel-Baky
Research Abstract

In this paper using the Blaschke approach we generalized the Bertrand curves to spacelike
ruled and developable surfaces. It is proved that, every spacelike ruled surface have a Bertrand oset
if and only if an equation should be fulfilled among their dual integral invariants. Consequently, some
new relationships and theorems for the developability of the Bertrand osets of spacelike ruled surfaces
are outlined.

Research Date
Research Department
Research File
Research Journal
AIMS Mathematics
Research Publisher
AIMS Mathematics
Research Rank
Q2
Research Vol
10
Research Website
http://www.aimspress.com/journal/Math
Research Year
2022
Research Pages
17843-17858