Convex projective structures on Gromov–Thurston manifolds

Kapovich, Michael

doi:10.2140/gt.2007.11.1777

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Convex projective structures on Gromov–Thurston manifolds

Michael Kapovich

Geometry & Topology 11 (2007) 1777–1830

DOI: 10.2140/gt.2007.11.1777

arXiv: math.DG/0604231

Abstract

We study Gromov–Thurston examples of negatively curved $n$ –manifolds which do not admit metrics of constant sectional curvature. We show that for each $n > 3$ some of the Gromov–Thurston manifolds admit strictly convex real-projective structures.

Keywords

real projective structures

Mathematical Subject Classification 2000

Primary: 53C15, 53C20

Secondary: 20F06

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Publication

Revised: 17 August 2007

Accepted: 7 February 2007

Published: 24 September 2007

Proposed: Walter Neumann

Seconded: Martin Bridson and Benson Farb

Authors

Michael Kapovich
Department of Mathematics University of California Davis CA 95616 USA
http://www.math.ucdavis.edu/~kapovich/

Volume 11, issue 3 (2007)