论文标题

紧凑型圆柱的共隔离纤维

Co-Seifert Fibrations of Compact Flat Orbifolds

论文作者

Ratcliffe, John G., Tschantz, Steven T.

论文摘要

在本文中,我们开发了将紧凑,连接的,扁平$ n $ -orbifolds(在1个孔口上)归类为仿射等效的所有几何振动的理论。我们应用我们的分类理论将紧凑,连接的,扁平$ 2 $ -Orbifolds的所有几何振动分类为1-孔,直到仿射等效性。本文是我们项目的重要组成部分,以提供所有封闭4个封闭式4个manifolds分类的几何证明。

In this paper, we develop the theory for classifying all the geometric fibrations of compact, connected, flat $n$-orbifolds, over a 1-orbifold, up to affine equivalence. We apply our classification theory to classify all the geometric fibrations of compact, connected, flat $2$-orbifolds, over a 1-orbifold, up to affine equivalence. This paper is an essential part of our project to give a geometric proof of the classification of all closed flat 4-manifolds.

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