$D_{i}-$Darboux Slant Helices on Surface

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.

Keywords

• Do-Darboux slant helix
• Dn-Darboux slant helix
• Dr-Darboux slant helix
• helix
• isophote curve
• relatively normal-slant helix

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