ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, no.2, pp.1387-1409, 2017 (SCI-Expanded)
Article / Article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Canal surface, Minkowski space, Spherical indicatrix of space curve, Split quaternion, Tubular surface, EUCLIDEAN-SPACE E-2(4), TUBULAR SURFACES, CURVES, ROTATIONS, HELICES
Hacettepe University Affiliated:
In this paper, we introduce canal surfaces determined by spherical indicatrices of any spatial curve in Minkowski 3-space by means of timelike split quaternions. Moreover, using orthogonal matrices corresponding to these quaternions, the canal surfaces are obtained as homotetic motions. Then, we investigate a relationship between the canal surfaces and unit split quaternions. Finally, we present some interesting examples with figures.