11-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
Position vector of a time-like slant helix in Minkowski 3-space
Position vector of a time-like slant helix in Minkowski 3-space
Subject
:
Mathematics
Document Language
:
English
Abstract
:
In this paper, position vector of a time-like slant helix with respect to standard frame of Minkowski space E31 is studied in terms of Frenet equations. First, a vector differential equation of third order is constructed to determine position vector of an arbitrary time-like slant helix. In terms of solution, we determine the parametric representation of the slant helices from the intrinsic equations. Thereafter, we apply this method to find the representation of a time-like Salkowski and time-like anti-Salkowski curves as examples of a slant helices, by means of intrinsic equations. Moreover, we present some new characterizations of slant helices and illustrate some examples of our main results.
ISSN
:
0022247X
Journal Name
:
Journal of Mathematical Analysis and Applications
Volume
:
365
Issue Number
:
2
Publishing Year
:
2010 AH
2010 AD
Article Type
:
Article
Added Date
:
Saturday, February 6, 2010
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أحمد علي
Ali, Ahmad
Researcher
Doctorate
atali71@yahoo.com
M Turgut
Turgut, Melih
Researcher
Doctorate
Melih.Turgut@gmail.com
Files
File Name
Type
Description
25148.pdf
pdf
Abstract
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