Convex projective structures on nonhyperbolic three-manifolds

DOI10.2140/gt.2018.22.1593zbMath1388.57017arXiv1508.04794OpenAlexW3102035074MaRDI QIDQ1746311

Jeffrey Danciger, Gye-Seon Lee, Samuel A. Ballas

Publication date: 25 April 2018

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04794

zbMATH Keywords

hyperbolic 3-manifold3-manifoldconvex projective structure

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Discontinuous groups of transformations (57S30) Group actions on manifolds and cell complexes in low dimensions (57M60) Projective differential geometry (53A20)

Related Items (17)

The structure of projective maps between real projective manifolds ⋮ Manifolds without real projective or flat conformal structures ⋮ Convex cocompact actions of relatively hyperbolic groups ⋮ Complex hyperbolic and projective deformations of small Bianchi groups ⋮ Ergodicity and equidistribution in Hilbert geometry ⋮ Proper quasi-homogeneous domains in flag manifolds and geometric structures ⋮ The convex real projective orbifolds with radial or totally geodesic ends: A survey of some partial results ⋮ Rigidity of convex divisible domains in flag manifolds ⋮ Projective structures on a hyperbolic 3-orbifold ⋮ Projective Anosov representations, convex cocompact actions, and rigidity ⋮ Convex projective manifolds with a cusp of any non‐diagonalizable type ⋮ A small closed convex projective 4-manifold via Dehn filling ⋮ Codimension-1 simplices in divisible convex domains ⋮ A flat torus theorem for convex co‐compact actions of projective linear groups ⋮ Properly convex bending of hyperbolic manifolds ⋮ Constructing convex projective 3‐manifolds with generalized cusps ⋮ Universal quantum computing and three-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• A geometric transition from hyperbolic to anti-de Sitter geometry
• Infinitesimal projective rigidity under Dehn filling
• Hyperbolic convexes and quasiisometries.
• Convex real projective structures on compact surfaces
• Research announcement: The structure of groups with a quasiconvex hierarchy.
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Deforming convex projective manifolds
• On discrete subgroups of Lie groups. I, II
• A 3-manifold group which is not four dimensional linear
• Flexing closed hyperbolic manifolds.
• Convex projective structures on Gromov-Thurston manifolds
• Divisible convex sets. IV: Boundary structure in dimension 3
• Déformations de connexions localement plates
• METABELIAN SL(N, C) REPRESENTATIONS OF KNOT GROUPS, III: DEFORMATIONS
• Deformations of reducible representations of knot groups into SL(n, C)
• Convexes divisibles III
• Deformations of reducible representations of 3-manifold groups into SL2(ℂ)
• Mixed 3-manifolds are virtually special
• The convex real projective orbifolds with radial or totally geodesic ends: A survey of some partial results
• A Census of Tetrahedral Hyperbolic Manifolds
• Hyperbolic manifolds and discrete groups
• Moduli space of certain mirror projective polyhedra

This page was built for publication: Convex projective structures on nonhyperbolic three-manifolds