Alev Kelleci
Abstract
For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove some relationships between a non-null Frenet curve and its non-null conjugate mate.
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For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove some relationships between a non-null Frenet curve and its non-null conjugate mate.
Key concepts: Frenet–Serret formulas, Null (SQL), Minkowski space, Conjugate, Mathematics, Conjugate points, Mathematical analysis, Geometry