On the quaternionic B2 slant helices in the semi-Euclidean space

In this paper, we studied quaternionic slant helices which we called semi-real quaternionic B2 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...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2012-02, Vol.218 (11), p.6391-6400
Main Authors: Kahraman, Ferdağ, Gök, İsmai˙l, Hacisali˙hoğlu, H. Hi˙lmi˙
Format: Article
Language:English
Subjects:
Computation
Curvature
Harmonics
Helices
Mathematical analysis
Mathematical models
Quaternions
Vectors (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we studied quaternionic slant helices which we called semi-real quaternionic B2 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 B2 slant helix. And then we obtained some characterizations for semi-real quaternionic B2 slant helix in the terms of the harmonic curvatures and the Darboux vector field D.
ISSN:0096-3003
DOI:10.1016/j.amc.2011.12.007