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On the Geometry of Curves in Minkowski 3-Space and Its Foldings

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DOI: 10.4236/am.2013.45103    5,568 Downloads   7,610 Views  

ABSTRACT

We will introduce a new connection between some transformations and some aspects of differential geometry of some curves in Minkowski space. The concept of folding, retractions and contraction on some curves in Minkowski space will be characterized by using some aspects of differential geometry. Types of the deformation retracts of some curves in Minkowski 3-space are obtained. The relations between the foldings and the deformation retracts of some curves are deduced. The connections between some transformations and time like, space like, light like of some curves in Minkowski 3-space are also presented.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. El-Ahmady and E. Al-Hesiny, "On the Geometry of Curves in Minkowski 3-Space and Its Foldings," Applied Mathematics, Vol. 4 No. 5, 2013, pp. 746-752. doi: 10.4236/am.2013.45103.

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