Quasi-isometries of Graph Manifolds Do Not Preserve Non-positive Curvature
Author | : Andrew Nicol |
Publisher | : |
Total Pages | : 57 |
Release | : 2014 |
ISBN-10 | : OCLC:893100048 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book Quasi-isometries of Graph Manifolds Do Not Preserve Non-positive Curvature written by Andrew Nicol and published by . This book was released on 2014 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the work of Frigerio, Lafont, and Sisto, we recall the definition of high dimensional graph manifolds. They are compact, smooth manifolds which decompose into finitely many pieces, each of which is a hyperbolic, non-compact, finite volume manifold of some dimension with toric cusps which has been truncated at the cusps and crossed with an appropriate dimensional torus. This class of manifolds is a generalization of two of the geometries described in Thurston's geometrization conjecture: three dimensional hyperbolic space and the product of two dimensional hyperbolic space with R.