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

Kocakusakli, Erdem; Tuncer, ORHAN; Gok, Ismail; Yayli, Yusuf

doi:10.1007/s00006-016-0723-5

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

Kocakusakli E., Tuncer O. O., Gok I., Yayli Y.

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

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
Hacettepe Üniversitesi Adresli: Hayır

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.