On the semi-real quaternionic Bertrand curves of AW(k)-type in E13

Authors

  • S. Yurttancikmaz Ataturk University, Erzurum, Turkey
  • S. Kiziltug Erzincan University , Turkey
  • A. Cakmak Ataturk University, Erzurum, Turkey
  • O. Tarakci Ataturk University, Erzurum, Turkey

Keywords:

Quaternion algebra, AW(k)-type curve, Bertrand curve

Abstract

In this paper, we analyze the harmonic curvature conditions of AW(k)- type (1≤k≤3) semi-real quaternionic curves and semi-real quaternionic Bertrand curves with k ≠ 0 and r ≠ 0 in E13 and we give some theorems and results on these curves.

Author Biographies

S. Yurttancikmaz, Ataturk University, Erzurum, Turkey

Faculty of Science, Department of Mathematics

S. Kiziltug, Erzincan University , Turkey

Science and Arts Faculty, Department of Mathematics

A. Cakmak, Ataturk University, Erzurum, Turkey

Faculty of Science Department of Mathematics

O. Tarakci, Ataturk University, Erzurum, Turkey

Faculty of Science Department of Mathematics

Downloads

Published

2015-06-12

Issue

Vol. 8(57) No. 1 (2015)

Section

MATHEMATICS