@article{Huang2025, 
author = {Jie Huang and Sining Wei},
title = {Generic properties of Darboux-type curves},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {8},
pages = {4679-4692},
keywords = {Darboux-type curves, spherical curves, rectifying curves, rectifying developable surface, geodesics},
url = {https://www.sciopen.com/article/10.3934/era.2025210},
doi = {10.3934/era.2025210},
abstract = {In this paper, we present a method for constructing Darboux-type curves by using spherical curves and smooth functions. We show that all Darboux-type curves can be generated using this method. We discuss the relationship between Darboux-type curves and rectifying curves. Moreover, we establish a connection between Darboux-type curves and geodesics on a rectifying developable surface from the viewpoint of curves on ruled surfaces.}
}