Quasi-isometric rigidity of higher rank S–arithmetic lattices

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The Journal

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Geometry & Topology 11 (2007) 995–1048

DOI: 10.2140/gt.2007.11.995

We show that $S$ –arithmetic lattices in semisimple Lie groups with no rank one factors are quasi-isometrically rigid.

quasi-isometry, arithmetic, quasi-isometry, arithmetic

Primary: 20F65, 20G30, 22E40

Received: 19 November 2004

Accepted: 21 September 2006

Published: 30 May 2007

Proposed: Martin Bridson

Seconded: Walter Neumann and Benson Farb

Kevin Wortman
Mathematics Department Yale University PO Box 208283 New Haven CT 06520-8283 USA