POSITION VECTOR OF SPACELIKE SLANT HELICES IN MINKOWSKI 3-SPACE
نویسندگان
چکیده
منابع مشابه
A ug 2 00 9 Position vectors of a spacelike general helices in Minkowski Space
In this paper, position vector of a spacelike general helix with respect to standard frame in Minkowski space E 1 are studied in terms of Frenet equations. First, a vector differential equation of third order is constructed to determine position vector of an arbitrary spacelike general helix. In terms of solution, we determine the parametric representation of the general helices from the intrin...
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In classical differential geometry, the problem of the determination of the position vector of an arbitrary space curve according to the intrinsic equations κ = κ(s) and τ = τ (s) (where κ and τ are the curvature and torsion of the space curve ψ, respectively) is still open [7, 14]. However, in the case of a plane curve, helix and general helix, this problem is solved. In this paper, we solved ...
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ژورنال
عنوان ژورنال: Honam Mathematical Journal
سال: 2014
ISSN: 1225-293X
DOI: 10.5831/hmj.2014.36.2.233