Generalized Razzaboni Surfaces with the Quasi Frame in Minkowski 3-Space
Abstract
This study examines the geometrical characteristics of extended Razzaboni surfaces within the Minkowski 3-dimensional space, employing the
quasi-frame. We formulate the quasi-frame equations pertinent to these
generalized Razzaboni surfaces and utilize them to investigate the behavior
of these surfaces. Additionally, we delineate the criteria under which the
surface exhibits developability or minimality. Furthermore, we establish the
conditions for the surface’s s-curve to be an asymptotic, geodesic, or principal trajectory across three distinct scenarios. Given that the quasi-frame
construct represents a generalization of the Frenet frame within Minkowski
3-space, all Frenet frame-derived outcomes remain accessible
quasi-frame. We formulate the quasi-frame equations pertinent to these
generalized Razzaboni surfaces and utilize them to investigate the behavior
of these surfaces. Additionally, we delineate the criteria under which the
surface exhibits developability or minimality. Furthermore, we establish the
conditions for the surface’s s-curve to be an asymptotic, geodesic, or principal trajectory across three distinct scenarios. Given that the quasi-frame
construct represents a generalization of the Frenet frame within Minkowski
3-space, all Frenet frame-derived outcomes remain accessible