论文标题

子空间叶子和闭合歧管的崩溃

Subspace foliations and collapse of closed flat manifolds

论文作者

Bettiol, Renato G., Derdzinski, Andrzej, Mossa, Roberto, Piccione, Paolo

论文摘要

我们研究了封闭的扁平歧管的某些完全测量的叶子与其崩溃的Gromov-Hausdorff限制之间的关系。我们的主要结果明确确定了诸如扁平轨道之类的崩溃极限,并提供代数和几何标准以确定它们是否是单数。

We study relations between certain totally geodesic foliations of a closed flat manifold and its collapsed Gromov-Hausdorff limits. Our main results explicitly identify such collapsed limits as flat orbifolds, and provide algebraic and geometric criteria to determine whether they are singular.

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