Frenet frames and invariants of timelike ruled surfaces

(in lingua inglese)

Ruled surfaces have an important role in some areas such as design problems in spatial mechanisms and physics, kinematics and computer aided design (CAD). Especially, the frames and invariants of these surfaces have important applications in these sciences. Moreover, the study of ruled surfaces in the Minkowski 3-space is more interesting than the the Euclidean case. According to the classifications of ruled surfaces, they have different values for derivative of the vectors. So, the kinematics and geometric interpretations can be more different.