Generalized Razzaboni surfaces with the quasi frame in Minkowski 3-space

This study investigates the geometric properties of generalized Razzaboni surfaces in Minkowski 3-space utilizing the quasi-frame formalism. We derive the quasi-frame equations for these surfaces and employ them to analyze their characteristics. The conditions for surface developability and minimality are established. Furthermore, we determine the criteria under which the s-curve of the surface becomes an asymptotic, geodesic, or principal curve across three distinct cases. As the quasi-frame represents a generalization of the Frenet frame in Minkowski 3-space, our findings encompass and extend previous Frenet frame-based results. Finally, we provide an example of a curve and the corresponding generalized Razzaboni surface for this curve.