POSITION VECTOR OF SPACELIKE SLANT HELICES IN MINKOWSKI 3-SPACE

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 2,  2014, pp.233-251
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.2.233
Title & Authors
POSITION VECTOR OF SPACELIKE SLANT HELICES IN MINKOWSKI 3-SPACE

Abstract
In this paper, position vector of a spacelike slant helix with respect to standard frame are deduced in Minkowski space $\small{E^3_1}$. Some new characterizations of a spacelike slant helices are presented. Also, a vector differential equation of third order is constructed to determine position vector of an arbitrary spacelike curve. In terms of solution, we determine the parametric representation of the spacelike slant helices from the intrinsic equations. Thereafter, we apply this method to find the parametric representation of some special spacelike slant helices such as: Salkowski and anti-Salkowski curves.
Keywords
Minkowski 3-space;slant helix;intrinsic equations;
Language
English
Cited by
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