paper

Large Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds

arXiv:math/0412258

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.

13 pages; Minor changes. To appear in International Mathematics Research Notices (IMRN)

Large Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds · wovepaper