Volume 11, issue 3 (2007)

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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Convex projective structures on Gromov–Thurston manifolds

Michael Kapovich

Geometry & Topology 11 (2007) 1777–1830

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
References
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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/