POSITION VECTORS OF A SPACELIKE W-CURVE IN MINKOWSKI SPACE 𝔼13

Title & Authors
POSITION VECTORS OF A SPACELIKE W-CURVE IN MINKOWSKI SPACE 𝔼13
Ilarslan, Kazim; Boyacioglu, Ozgur;

Abstract
In this paper, we study the position vectors of a spacelike W-curve (or a helix), i.e., curve with constant curvatures, with spacelike, timelike and null principal normal in the Minkowski 3-space $\small{\mathbb{E}_1^3}$. We give some characterizations for spacelike W - curves whose image lies on the pseudohyperbolical space $\small{\mathbb{H}_0^2}$ and Lorentzian sphere $\small{\mathbb{S}_1^2}$ by using the positions vectors of the curve.
Keywords
spacelike curve;W-curve;normal curve;position vector;Minkowski space;
Language
English
Cited by
1.
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