Translator Disclaimer
15 January 2016 Lyapunov spectrum of ball quotients with applications to commensurability questions
André Kappes, Martin Möller
Duke Math. J. 165(1): 1-66 (15 January 2016). DOI: 10.1215/00127094-3165969

Abstract

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.

Citation

Download Citation

André Kappes. Martin Möller. "Lyapunov spectrum of ball quotients with applications to commensurability questions." Duke Math. J. 165 (1) 1 - 66, 15 January 2016. https://doi.org/10.1215/00127094-3165969

Information

Received: 6 November 2012; Revised: 2 July 2014; Published: 15 January 2016
First available in Project Euclid: 14 October 2015

zbMATH: 1334.22010
MathSciNet: MR3450741
Digital Object Identifier: 10.1215/00127094-3165969

Subjects:
Primary: 22E40

Keywords: Lyapunov spectrum , nonarithmetric lattices , period maps

Rights: Copyright © 2016 Duke University Press

JOURNAL ARTICLE
66 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.165 • No. 1 • 15 January 2016
Back to Top