论文标题

在尖式折叠中的腔室和壁的准静电刚度上

On the quasi-isometric rigidity of chambers and walls in cusp-decomposable manifolds

论文作者

Peruyero, Haydeé Contreras

论文摘要

尖端解释的歧管是由有限数量的完整,负弯曲的,有限的体积歧管构成的歧管,并通过差异性鉴定截短的尖端的边界。利用尖尖 - 可分解的歧管的通用覆盖物的电气空间的性能,我们表明墙壁和碎片的包含会诱导准等级嵌入。我们还表明,较高图歧管的基本组之间的同构将分解分解为碎片。

A cusp-decomposable manifold is a manifold constructed from a finite number of complete, negatively curved, finite volume manifolds and identifying the boundaries of truncated cusps by diffeomorphisms. Using properties of the electric space of the universal cover of cusp-decomposable manifolds, we show that the inclusion of walls and pieces induces quasi-isometric embeddings. We also show that isomorphisms between fundamental groups of higher graph manifolds preserve the decomposition into pieces.

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