A New Representation of Canal Surfaces with Split Quaternions in Minkowski 3-Space

作者：Kocakusakli Erdem; Tuncer O Ogulcan^*; Gok Ismail; Yayli Yusuf

来源：Advances in Applied Clifford Algebras, 2017, 27(2): 1387-1409.

DOI：10.1007/s00006-016-0723-5

• Canal surface
• Minkowski space
• Spherical indicatrix of space curve
• Split quaternion
• Tubular surface

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.

• 出版日期2017-6