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On The Fundamental Group and Folding of Klein Bottle

A. E. El-Ahmady

Abstract


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.

Keywords


Geodesics; Fundamental group ; Retraction;Folding

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