On the Quaternionic B-2-Slant Helices in the Euclidean Space E-4


Gök İ., Okuyucu O. Z. , KAHRAMAN F. , Hacısalihoğlu H. H.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.21, ss.707-719, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21 Konu: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s00006-011-0284-6
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Sayfa Sayıları: ss.707-719

Özet

In this paper we give a new definition of harmonic curvature functions in terms of B-2 and we define a new kind of slant helix which we call quaternionic B-2-slant helix in 4-dimensional Euclidean space E-4 by using the new harmonic curvature functions. Also we define a vector field D which we call Darboux quaternion of the real quaternionic B-2-slant helix in 4-dimensional Euclidean space E-4 and we give a new characterization such as: