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On The Fundamental Group and Folding of Klein Bottle

A. E. El-Ahmady


In this paper we will introduce the results of some geometric transformations of the Klein bottle on the fundamental group. The retractions of Klein bottle into itself and onto a geodesics in Klein bottle by using Lagrangian equations are presented. The fundamental group of some types of geodesics in Klein bottle are discussed. Theorems governing this connection are achieved.


Geodesics; Fundamental group ; Retraction;Folding

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