Null Darboux Curve Pairs in Minkowski 3-Space

Abstract

Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space. The relationships of null Darboux curve pairs are explored and their expression forms are presented explicitly.

Keywords

• Minkowski 3-space
• null curve
• Darboux vector field