On the Pair of Spacelike Bertrand-B Curves With Timelike Principal Normal in R3 1

Abstract

In this work, we introduce a pair of spacelike Bertrand-B curves with timelike principal normal and we divide the work into two subsections with respect to the given tables for the same (or different) types of vectors ζ1 and ζ*2. Firstly, we obtain theorems concerning the pair of spacelike Bertrand-B curves. By using these theorems, we give propositions that express the condition for a pair of spacelike Bertrand-B curves to be planar, spatial and isometric. Finally, we conclude that Bertrand-B curves do not provide the Mannheim’s theorem. © Palestine Polytechnic University-PPU 2020.