Fundamental polyhedra for Margulis space-times
From MaRDI portal
Publication:1209377
DOI10.1016/0040-9383(92)90001-XzbMath0773.57008MaRDI QIDQ1209377
Publication date: 16 May 1993
Published in: Topology (Search for Journal in Brave)
fundamental polyhedronaffine group acting freely and properly discontinuously on \(\mathbb{R}^ 3\)complete affinely flat manifoldsMargulis space-timessolid handlebody
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on low-dimensional manifolds (57M50) Discontinuous groups of transformations (57S30) Group actions on manifolds and cell complexes in low dimensions (57M60)
Related Items
Margulis spacetimes via the arc complex, Properly discontinuous group actions on affine homogeneous spaces, Lorentz spacetimes of constant curvature, Notes on a paper of Mess, Proper affine actions on semisimple Lie algebras, Semigroups containing proximal linear maps, Proper affine deformations of the one-holed torus, Foliations of Minkowski 2 + 1 spacetime by crooked planes, Schottky groups and maximal representations, The affine deformation space of a rank two Schottky group: a picture gallery, Margulis multiverse: Infinitesimal rigidity, pressure form and convexity, Tameness of Margulis space-times with parabolics, A cyclotomic family of thin hypergeometric monodromy groups in \({\mathrm{Sp}}_4({\mathbb{R}})\), The conformal boundary of Margulis space--times., Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective, Proper affine actions for right-angled Coxeter groups, Foliations between crooked planes in 3-dimensional Minkowski space, Crooked halfspaces, Fundamental domains in the Einstein universe, Proper affine actions and geodesic flows of hyperbolic surfaces, The Margulis invariant for parabolic transformations, Affine deformations of a three-holed sphere, Fundamental domains for properly discontinuous affine groups, Non-proper affine actions of the holonomy group of a punctured torus, Linear foliations on affine manifolds, Anti-de Sitter Geometry and Teichmüller Theory, Unnamed Item, Representations having vectors fixed by a Levi subgroup associated to a real form, Crooked surfaces and anti-de Sitter geometry