@article{article_1310722, title={$D_{i}-$Darboux Slant Helices on Surface}, journal={Turkish Journal of Mathematics and Computer Science}, volume={16}, pages={386–399}, year={2024}, DOI={10.47000/tjmcs.1310722}, author={Alkan, Akın and Kocayiğit, Hüseyin and Ağırman Aydın, Tuba}, keywords={Do-Darboux slant helix, Dn-Darboux slant helix, Dr-Darboux slant helix, helix, isophote curve, relatively normal-slant helix}, abstract={In this study, we consider $D_{i}$-Darboux slant helices which are new surface curves on an oriented surface. We give some characterizations for such curves according to the Darboux frame, OD-frame, ND-frame, RD-frame, and obtain axes of the $D_{i}$-Darboux slant helices. Moreover, the position vectors of the $D_{i}$-Darboux slant helices are obtained.}, number={2}, publisher={Matematikçiler Derneği}