Duke Mathematical Journal
- Duke Math. J.
- Volume 165, Number 1 (2016), 1-66.
Lyapunov spectrum of ball quotients with applications to commensurability questions
We determine the Lyapunov spectrum of ball quotients arising from cyclic coverings. The computations are performed by rewriting the sum of Lyapunov exponents as ratios of intersection numbers and by the analysis of the period map near boundary divisors.
As a corollary, we complete the classification of commensurability classes of all presently known nonarithmetic ball quotients.
Duke Math. J., Volume 165, Number 1 (2016), 1-66.
Received: 6 November 2012
Revised: 2 July 2014
First available in Project Euclid: 14 October 2015
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
Kappes, André; Möller, Martin. Lyapunov spectrum of ball quotients with applications to commensurability questions. Duke Math. J. 165 (2016), no. 1, 1--66. doi:10.1215/00127094-3165969. https://projecteuclid.org/euclid.dmj/1444828413