vix.ing · top · new · best · stats · spec

Convex projective structures on Gromov–Thurston manifolds

2006/04/30 by Michael Kapovich · 1 citation
Mathematics · #Combinatorics #Computer science #Constant (computer programming) #Curvature #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Mathematical Dynamics and Fractals #Mathematics #Projective test #Pure mathematics #Regular polygon #Ricci-flat manifold #Scalar curvature #Sectional curvature #math.DG #math.GR #math.GT #msc:20F06 #msc:53C15 #msc:53C20

paper · pdf · doi:10.2140/gt.2007.11.1777

published as Geom. Topol. 11 (2007) 1777-1830 · 28 pages, 6 figures

arxiv created 2006/06/08 · openalex publication_date 2007/09/24 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

Cited by