Strict contractions and exotic SO_0(d,1) quotients

TL;DR

This paper constructs explicit strict contractions between hyperbolic orbifolds for dimensions less than 5, revealing new exotic quotients of the group SO_0(d,1) by leveraging recent mathematical results.

Contribution

It provides an elementary construction of strict contractions in low dimensions, expanding understanding of exotic quotients of SO_0(d,1).

Findings

Explicit strict contractions for d<5

Identification of exotic SO_0(d,1) quotients

Connections to recent work of Gueritaud-Kassel and Tholozan

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).