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On Elastic Klein Bottle and Fundamental Groups

机译:关于弹性克莱因瓶和基本群

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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.
机译:本文的目的是给出组合特征,并通过使用一些几何变换来构造弹性克莱因瓶子流形的基本群的表示。给出了极限弹性克莱因瓶的同伦组。讨论了弹性Klein瓶中某些测地线的基本类别。推导了新的同型图。达到控制该连接的定理。

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