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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Foldings and Deformation Retract of Hyperhelix

E. AL-Hesiny1 and A. E. El-Ahmady2
  • 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.

Journal of Mathematics and Statistics
Volume 8 No. 2, 2012, 241-247

DOI: https://doi.org/10.3844/jmssp.2012.241.247

Submitted On: 27 February 2012 Published On: 5 June 2012

How to Cite: AL-Hesiny, E. & El-Ahmady, A. E. (2012). Foldings and Deformation Retract of Hyperhelix. Journal of Mathematics and Statistics, 8(2), 241-247. https://doi.org/10.3844/jmssp.2012.241.247

Open AccessCopyright: © 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