On the quaternionic B 2 slant helices in the semi-Euclidean space E 2 4

Kahraman F., GÖK İ., Hacisalihoǧlu H. H.

Applied Mathematics and Computation, cilt.218, sa.11, ss.6391-6400, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 11
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2011.12.007
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6391-6400
  • Anahtar Kelimeler: Harmonic curvatures, Semi-Euclidean Space, Semi-real quaternion algebra, Slant helices
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we studied quaternionic slant helices which we called semi-real quaternionic B 2 slant helix in four dimensional semi-Euclidean space E 2 4. Also we define the harmonic curvature functions for semi-real quaternionic curves and we give a vector field D which we call Darboux quaternion for semi-real quaternionic B 2 slant helix. And then we obtained some characterizations for semi-real quaternionic B 2 slant helix in the terms of the harmonic curvatures and the Darboux vector field D. © 2011 Elsevier Inc. All rights reserved.