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Conditional Retraction of Some Curves In Minkowski 3-Space

A.E. El-Ahmady, E. AL-Hesiny

Abstract


Our aim in the present article is to introduce and study new types of retractions of curves in Minkowski 3-space.Types of the deformation retracts of curves in Minkowski 3-space are obtained. The relations between the folding and the deformation retract of curves are deduced. Types of minimal retractions of curves in Minkowski 3-space are also presented. Also, the isometric and topological folding in each case and the relation between the deformation retracts after and before folding have been obtained. New types of homotopy maps are deduced. The connection between the retraction and time like or space like or light like curves in Minkowski 3-space are presented.

Keywords


Retractions, Deformation retract, Folding, Minkowski 3-space.

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