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

Kocakusakli E., Tuncer O. O., GÖK İ., YAYLI Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.27, sa.2, ss.1387-1409, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00006-016-0723-5
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1387-1409
  • Anahtar Kelimeler: Canal surface, Minkowski space, Spherical indicatrix of space curve, Split quaternion, Tubular surface, EUCLIDEAN-SPACE E-2(4), TUBULAR SURFACES, CURVES, ROTATIONS, HELICES
  • Ankara Üniversitesi Adresli: Evet

Özet

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.