Paper Info
Title
Boundary Maps And Fenchel-Nielsen-Maskit Coordinates
Abstract
We consider a genus 2 surface, M, of constant negative curvature and we construct a 12-sided fundamental domain, where the sides are segments of the lifts of closed geodesics on M (which determines the Fenchel-Nielsen-Maskit coordinates). Then we study the linear fractional transformations of the side pairing of the fundamental domain. This construction gives rise to 24 distinct points on the boundary of the hyperbolic covering space. Their itineraries determine Markov partitions that we use to study the dependence of the Lyapunov exponent and length spectrum of the closed geodesics with the Fenchel-Nielsen coordinates.
Year
DOI
Venue
2003
10.1142/S0218127403007783
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
length spectrum, closed geodesics, Fenchel-Nielsen coordinates, boundary maps
Journal
13
Issue
ISSN
Citations 
7
0218-1274
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Clara Grácio142.32
J. Sousa Ramos213.55