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

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

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.21, no.4, pp.707-719, 2011 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 21 Issue: 4
• Publication Date: 2011
• Doi Number: 10.1007/s00006-011-0284-6
• Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.707-719
• Erciyes University Affiliated: Yes

Abstract

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: