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Title: Boundary maps and Fenchel-Nielsen coordinates
Authors: Grácio, Clara
Ramos, José Sousa
Keywords: Fenchel
Issue Date: 2003
Publisher: International Journal Bifurcation and Chaos
Citation: Clara Grácio e J. Sousa Ramos, “Boundary maps and Fenchel-Nielsen coordinates”, International Jour. Bifurcation and Chaos”, 13, 7 (2003) 1949-1958.
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.}
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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