A New Representation of Canal Surfaces with Split Quaternions in Minkowski 3-Space
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, no.2, pp.1387-1409, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 2
- Publication Date: 2017
- Doi Number: 10.1007/s00006-016-0723-5
- Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1387-1409
- Keywords: 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: No
Abstract
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.