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References
[A-A] Arnol'd, V.I., Avez, A.: Problèmes ergodiques de la mécanique classique. Gauthier-Villars, 1967 (English translation published by Benjamin, 1968)
[B-C] Bleiler, S., Casson, A.: Automorphisms of surfaces after Nielsen and Thurston. To appear in Cambridge University Press
[B1] Bonahon, F.: Bouts des variétés hyperboliques de dimension 3. Ann. Math.124, 71–158 (1986)
[B2] Bonahon, F.: Structures géométriques sur les variétés de dimension 3 et applications. Thèse d'Etat, Université d'Orsay, 1985
[Bk] Bourbaki, N.: Eléments de Mathématiques, livre VII (Intégration). Paris: Hermann 1965
[C] Chu, T.: The Weil-Petersson metric in the moduli space. Chin. J. Math.4, 29–51 (1976)
[E-O] Eberlein, P., O'Neill, B.: Visibility manifolds. Pac. J. Math.46, 45–109 (1973)
[F-L-P] Fathi, A., Laudenbach, F., Poenaru, V.: Travaux de Thurston sur les surfaces. Astérisque no 66–67, Société Mathématique de France, 1979
[F] Floyd, W.: Group completions and limit sets of Kleinian groups. Invent. Math.57, 205–218 (1980)
[G1] Gromov, M.: Structures métriques pour les variétés riemanniennes. (Notes by Lafontaine, J. and Pansu, P.). Cedic-Fernand-Nathan, 1981
[G2] Gromov, M.: Hyperbolic manifolds, groups and actions. In: Kra, I., Maskit, B. (eds.), Riemann surfaces and related topics. Proceedings of the 1978 Stony Brook conference, (Ann. Math. Studies, vol. 97, pp. 183–215), Princeton University Press, 1981
[G3] Gromov, M.: Hyperbolic spaces. In: Gersten, S.M. (ed.) Essays in combinatorial group theory. Berlin Heidelberg New York: Springer, 1987
[H-P] Harer, J., Penner, R.C.: Combinatorics of train tracks, Preprint, University of Maryland and University of Southern California, 1984
[H] Horowitz, R.: Characters of free groups represented in the two-dimensional linear group. Commun. Pure Appl. Math.25, 635–649 (1972)
[J] Jørgensen, T.: Traces in 2-generator subgroups of ℂ. Proc. Am. Math. Soc.84, 339–343 (1982)
[K] Kerckhoff, S.P.: The Nielsen realization theorem. Ann. Math.117, 235–265 (1983)
[N] Nielsen, J.: Untersuchung zur Topologie der geschlossenen zweiseitigen Flächen, I, II and III. Acta Math.50, 189–358 (1927);53, 1–76 (1929);58, 87–167 (1931)
[S] Sigmund, K.: On dynamical systems with the specification property. Trans. Am. Math. Soc.190, 285–299 (1974)
[T1] Thurston, W.P.: On the geometry and dynamics of diffeomorphisms of surfaces I. Unpublished article, Princeton University, 1975
[T2] Thurston, W.P.: The topology and geometry of 3-manifolds, lecture notes. Princeton University, 1976–79
[Tr] Tromba, A.J.: On a natural affine connection on the space of almost complex structures and the curvature of Teichmüller space with respect to its Weil-Petersson metric. Manuscr. Math.56, 456–497 (1986)
[Wa] Walter, P.: An introduction to ergodic theory. Graduate texts in Mathematics, vol. 79. Berlin-Heidelberg-New York: Springer 1982
[W1] Wolpert, S.: Non completeness of the Weil-Petersson metric for Teichmüller space. Pac. J. Math.61, 573–577 (1975)
[W2] Wolpert, S.: Thurston's Riemannian metric for Teichmüller space. J. Differ. Geom.23, 143–174 (1986)
[W3] Wolpert, S.: Chern forms and the Riemann tensor for the moduli space of curves. Invent. Math.85, 119–145 (1986)
[W4] Wolpert, S.: Geodesic length functions and the Nielsen problem. J. Differ. Geom.25, 275–296 (1987)
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Partially supported by NSF and by the Sloan Foundation
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Bonahon, F. The geometry of Teichmüller space via geodesic currents. Invent Math 92, 139–162 (1988). https://doi.org/10.1007/BF01393996
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DOI: https://doi.org/10.1007/BF01393996