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, vol.218, no.11, pp.6391-6400, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 218 Issue: 11
  • Publication Date: 2012
  • Doi Number: 10.1016/j.amc.2011.12.007
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6391-6400
  • Keywords: Harmonic curvatures, Semi-Euclidean Space, Semi-real quaternion algebra, Slant helices
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

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.