Quasi-Isometric Rigidity of Cusp-Decomposable Manifolds

Kirill Kuzmin

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arXiv · 1704.06638

Quasi-Isometric Rigidity of Cusp-Decomposable Manifolds

Kirill Kuzmin

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Abstract

In this paper we explore coarse properties of cusp-decomposable manifolds first defined by Nguyên Phan. We describe the large scale geometry of the universal cover of a cusp-decomposable manifold and of quasi-isometries between two such universal covers. This description will provide us the tools to prove quasi-isometric rigidity for fundamental groups of cusp-decomposable manifolds.

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Kirill Kuzmin. 2017-06-09. Quasi-Isometric Rigidity of Cusp-Decomposable Manifolds. https://arxiv.org/abs/1704.06638

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