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

Mohamad A. Hindawi
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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.

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Mohamad A. Hindawi. 2005-06-13. Large Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds. https://arxiv.org/abs/math/0412258

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