Applied Mathematics

Volume 4, Issue 3 (March 2013)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.96  Citations  

On Elastic Klein Bottle and Fundamental Groups

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DOI: 10.4236/am.2013.43074    4,045 Downloads   6,451 Views  Citations
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ABSTRACT

The purpose of this paper is to give a combinatorial characterization and also construct representations of the fundamental group of the submanifolds of elastic Klein Bottle by using some geometrical transformations. The homotopy groups of the limit elastic Klein Bottle are presented. The fundamental groups of some types of geodesics in elastic Klein Bottle are discussed. New types of homotopy maps are deduced. Theorems governing this connection are achieved.

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El-Ahmady, A. (2013) On Elastic Klein Bottle and Fundamental Groups. Applied Mathematics, 4, 499-504. doi: 10.4236/am.2013.43074.

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