Nonarithmetic hyperbolic manifolds and trace rings

Abstract

We give a sufficient condition on the hyperplanes used in the inbreeding construction of Belolipetsky-Thomson to obtain nonarithmetic manifolds. We construct explicitly infinitely many examples of such manifolds that are pairwise non-commensurable and estimate their volume.

10 pages

References in corpus (2)

• Weakly commensurable arithmetic groups, lengths of closed geodesics and isospectral locally symmetric spaces
• Quasi-arithmeticity of lattices in PO(n,1)

Cited by in corpus (1)

• Systoles of hyperbolic hybrids