On the Blaschke approach of Bertrand offsets of spacelike ruled surfaces

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 offset 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 offsets of spacelike ruled surfaces are outlined.

Keywords

• e. study map
• bertrand offsets
• striction curves