Foldings and Deformation Retract of Hyperhelix
- 1 Taibah University, Saudi Arabia
- 2 Tanta University, Egypt
Abstract
Our aim in the present study is to introduce and study new types of retractions of hyperhelix in Minkowski space. Types of the deformation retracts of hyperhelix in Minkowski space were discussed. The relations between the foldings and the deformation retracts of hyperhelix in Minkowski space were deduced. Types of minimal retractions of hyperhelix in Minkowski space were obtained. Also, the connection between retractions and T, N, B, K and τ, of hyperhelix in Minkowski space were presented. New types of the minimal retractions and the end of the limits of foldings of hyperhelix in Minkowski space are deduced.
DOI: https://doi.org/10.3844/jmssp.2012.241.247
Copyright: © 2012 E. AL-Hesiny and A. E. El-Ahmady. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Hyperhelix in minkowski space
- folding
- minimal retractions
- deformation retracts of hyperhelix