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Document Details
Document Type
:
Article In Journal
Document Title
:
Slant helices in minkowski space E 31
Slant helices in minkowski space E 31
Subject
:
Mathematics
Document Language
:
English
Abstract
:
We consider a curve α = α(s) in Minkowski 3-space E13 and denote by {T, N, B} the Frenet frame of α. We say that α is a slant helix if there exists a fixed direction U of E13 such that the function [N(s), U] is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of α. Finally, we discuss the tangent and binormal indicatrices of slant curves, proving that they are helices in E13.
ISSN
:
0304-9914
Journal Name
:
Journal of the Korean Mathematical Society
Volume
:
48
Issue Number
:
1
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Saturday, June 16, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أحمد توفيق علي
Ali, Ahmad Tawfik
Researcher
Doctorate
atali71@yahoo.com
R López
López, R
Researcher
Doctorate
rcamino@ugr.es
Files
File Name
Type
Description
33601.pdf
pdf
Abstract
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