Semi-Darboux motions of rational curves with equivalent trajectories (Q1429153)

Semi-Darboux motion in complex projective space \(\mathbb P^n\) is characterized by the existence of a rational curve \(C\subset\mathbb P^n\) whose points have trajectories in a proper subspace of \(\mathbb P^n\). The author characterizes semi-Darboux motions with equivalent trajectories. The results obtained are closely related to the author's paper [J. Geom. 73, No.1-2, 134--147 (2002; Zbl 1006.51016)].