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Inextensible Flows of Spacelike Curves in De-Sitter Space S2,1 |
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PP: 75-83 |
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doi:10.18576/amisl/060204
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Author(s) |
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Samah Gaber Mohamed,
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Abstract |
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| In this paper we study the relations between certain integrable equations and geometric motion of spacelike and timelike
curves in 3-dimensional de-Sitter space S2,1.We give the associated evolution equations for curvature and torsion as a system of partial
differential equations. In addition, we study inextensible flows of both spacelike and timelike curves in S2,1, and we get necessary and
sufficient conditions for the flows of those curves to be inextensible. We give explicit examples of the motion of inextensible spacelike
curves in S2,1 and we determine the curves from their intrinsic equations (curvature and torsion), and then determine the surfaces that
are generated by the motion of these curves and draw these surfaces in de-Sitter space S2,1 by using the hollow ball model. |
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