Strict contractions and exotic SO_0(d,1) quotients
Preprint
Abstract
For d < 5, we describe an elementary construction of nonzero degree, strict contractions between closed, oriented hyperbolic d-oribifolds. Appealing to work of Gueritaud-Kassel and Tholozan, these examples determine exotic quotients of SO_0(d,1).Keywords
All Related Versions
This publication has 27 references indexed in Scilit:
- Virtual 1-domination of 3-manifoldsCompositio Mathematica, 2018
- AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREMForum of Mathematics, Pi, 2016
- Dominating Surface Group Representations by Fuchsian OnesInternational Mathematics Research Notices, 2015
- Finite-sided deformation spaces of complete affine 3-manifoldsJournal of Topology, 2013
- Notes on right-angled Coxeter polyhedra in hyperbolic spacesGeometriae Dedicata, 2010
- Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifoldsMathematische Annalen, 2009
- Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifoldsMathematische Annalen, 1998
- Fundamental polyhedra for Margulis space-timesTopology, 1992
- Polyhedral groups and graph amalgamation productsTopology and its Applications, 1985
- ber eine Eigenschaft der konformen Abbildung kreisf rmiger BereicheMathematische Annalen, 1915