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

Autor:	Peruyero, Haydeé Contreras
Rok vydání:	2020
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.03736 Zobrazit plný text záznamu View this record from Arxiv