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3-manifold Groups and Nonpositive Curvature

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Abstract.

We prove that the fundamental group of any compact Haken manifold of zero Euler characteristic, which is neither Nil nor Sol, is nonpositvely curved on the large scale.

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Authors and Affiliations

  1. Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA, e-mail: kapovich@math.utah.edu, , , , , , US

    M. Kapovich

  2. Mathematisches Institut, Universität Bonn, Beringstr. 1, D - 53115 Bonn, Germany, e-mail: leeb@rhein.iam.uni-bonn.de, , , , , , DE

    B. Leeb

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  1. M. Kapovich
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  2. B. Leeb
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Submitted: August 1997, Revised version: January 1998

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Kapovich, M., Leeb, B. 3-manifold Groups and Nonpositive Curvature. GAFA, Geom. funct. anal. 8, 841–852 (1998). https://doi.org/10.1007/s000390050076

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  • DOI: https://doi.org/10.1007/s000390050076

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