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Palestine Journal of Mathematics, vol.13, no.1, pp.302-309, 2024 (Scopus)
The adjoint curve of a Frenet curve r=r(s) is defined as the unit speed curve tangent to the principal normal vector field of r. We show that the adjoint curve of a spacelike curve
with timelike binormal is a timelike curve. We obtain some relationships between a Frenet curve
and its adjoint in Minkowski 3-space. For a given spacelike curve with timelike binormal, we
obtain conditions on surfaces that possess the adjoint curve as a common asymptotic, geodesic
or curvature line in Minkowski 3-space. We also give examples confirming our theory.