Large Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds
Metric Geometry
2007-05-23 v2 Differential Geometry
Abstract
We study the asymptotic cones of the universal covering spaces of closed 4-dimensional nonpositively curved real analytic manifolds. We show that the existence of nonstandard components in the Tits boundary, discovered by Christoph Hummel and Victor Schroeder, depends only on the quasi-isometry type of the fundamental group.
Keywords
Cite
@article{arxiv.math/0412258,
title = {Large Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds},
author = {Mohamad A. Hindawi},
journal= {arXiv preprint arXiv:math/0412258},
year = {2007}
}
Comments
13 pages; Minor changes. To appear in International Mathematics Research Notices (IMRN)