Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 7 (2018), 4359-4373.
Nonarithmetic hyperbolic manifolds and trace rings
We give a sufficient condition on the hyperplanes used in the Belolipetsky–Thomson inbreeding construction to obtain nonarithmetic manifolds. We explicitly construct infinitely many examples of such manifolds that are pairwise noncommensurable and estimate their volume.
Algebr. Geom. Topol., Volume 18, Number 7 (2018), 4359-4373.
Received: 1 June 2018
Revised: 23 July 2018
Accepted: 3 August 2018
First available in Project Euclid: 18 December 2018
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
Secondary: 57M50: Geometric structures on low-dimensional manifolds 51M25: Length, area and volume [See also 26B15] 20G30: Linear algebraic groups over global fields and their integers
Mila, Olivier. Nonarithmetic hyperbolic manifolds and trace rings. Algebr. Geom. Topol. 18 (2018), no. 7, 4359--4373. doi:10.2140/agt.2018.18.4359. https://projecteuclid.org/euclid.agt/1545102074