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.
Highlights
Introduction and DefinitionsAs is well known, the theory of deformation retract is always one of the interesting topics in Euclidian andNon-Euclidian space and it has been investigated from the various viewpoints by many branches of topology and differential geometry El-Ahmady [1,2,3].Minkowski space is originally from the relativity in physics
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
Summary
The theory of deformation retract is always one of the interesting topics in Euclidian and. Non-Euclidian space and it has been investigated from the various viewpoints by many branches of topology and differential geometry El-Ahmady [1,2,3]. The folding problems have close connections to important industrial applications. Paper folding has application in sheet-metal bending, packaging, and air-bag folding El-Ahmady [6]. For a topological folding the maps do not preserves lengths El-Ahmady [8,9,10] i.e. A map : M N , where M and N are. A subset A of a topological space X is called a retract of X if there exists a continuous map r : X A such that r a a , a A , where A is closed and X is open
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
