Akademik Veri Yönetim Sistemi
Palestine Journal of Mathematics, cilt.13, sa.1, ss.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.