Characterizations of Slant Helices According to Quaternionic Frame

Subject Applied Mathematics
Title Characterizations of Slant Helices According to Quaternionic Frame
Author(s) Hüseyin KOCAYİĞİT, Mehmet ÖNDER, Beyza Betül PEKACAR
Keywords Slant helix; Quaternionic frame; curvatures
Abstract

In this study, we give the characterizations of slant helices according to quaternionic frame in 3- and 4-dimensional Euclidean spaces. Furthermore, we obtain some necessary and sufficient conditions for a space curve to be a slant helix according to quaternionic frame.