Strict contractions and exotic SO_0(d,1) quotients

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).

v4. Updated references. v3. Correct more typos, updated references. v2. Corrected typos, expanded section 3.3, added references. 28 pages. v1. 27 pages, 6 figures

References in corpus (3)

• Anosov representations and proper actions
• The Volume of complete anti-de Sitter 3-manifolds
• The 825 Smallest Right-Angled Hyperbolic Polyhedra

Cited by in corpus (2)

• Proper affine actions for right-angled Coxeter groups
• Virtual 1-domination of 3-manifolds