Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³

Document Type : Research Paper

Authors
1 Kirklareli University
2 Dokuz Eylul University
Abstract
The objective of the study in this paper is to define M₁,M₂-direction curves and M₁,M₂-donor curves of the spacelike curve γ via the Bishop frame of type-2 in E₁³. We obtained the necessary and sufficient conditions when the associated curves to be slant helices and general helices via the Bishop frame of type-2 in E₁³. After defining the spherical indicatrices of the associated curves, we obtain some relations between associated curves and their spherical indicatrices in terms of the frames used in the present work.
Keywords

Volume 8, Issue 1
January 2019
Pages 1-12

  • Receive Date 02 October 2018
  • Revise Date 07 March 2019
  • Accept Date 17 March 2019