Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³
Abstract
In this paper, we obtained some characterizations of spacelike curves according to Bishop frame in Minkowski 3-space E_1^3 by using Laplacian operator and Levi-Civita connection. Furthermore we gave the general differential equations which characterize the spacelike curves according to the Bishop Darboux vector and the normal Bishop Darboux vector.
Keywords
References
- A. J. Hanson and H. Ma, Parallel Transport Approach to Curve Framing, Indiana University, Techreports-TR425, January 11 (1995).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 14, 2016
Submission Date
February 13, 2017
Acceptance Date
April 21, 2016
Published in Issue
Year 2016 Volume: 1 Number: 2