Keywords
- Tangent Space
- Complex Manifold
- Quasiconformal Mapping
- Fuchsian Group
- Compact Riemann Surface
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References
Ahlfors, L. V., An extension of Schwarz's lemma, Trans. Amer. Math. Soc., 43 (1938), 359–364.
—, On quasiconformal mappings, J. Analyse Math., 3 (1953–4), 1–58.
—, Lectures on quasiconformal mappings, Van Nostrand Math. Studies 10, Van Nostrand, Princeton, N. J., 1966.
Bers, L., Quasiconformal mappings and Teichmüller's theorem, in Analytic Functions by R. Nevanlinna et al., Princeton University Press, Princeton, N. J., 1960, 89–119.
— and L. Ehrenpreis, Holomorphic convexity of Teichmüller spaces, Bull. Amer. Math. Soc., 70 (1964), 761–764.
Kobayashi, S., Invariant distances on complex manifolds and holomorphic mappings, J. Math. Soc. Japan, 19 (1967), 460–480.
—, Hyperbolic manifolds and holomorphic mappings, M. Dekker, New York, 1970.
Royden, H. L., Automorphisms and isometries of Teichmüller space, Ann. of Math. Studies, 66 (1971), 369–383.
—, Remarks on the Kobayashi metric, Springer Lecture Notes in Math., 185 (1971), 125–137.
—, Invariant metrics on Teichmüller space, to appear.
Wu, H., Normal families of holomorphic mappings, Acta Math., 119 (1967), 193–223.
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© 1974 Springer-Verlag
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Royden, H.L. (1974). Metrics on teichmuller space. In: Bers, L., Kra, I. (eds) A Crash Course on Kleinian Groups. Lecture Notes in Mathematics, vol 400. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065676
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DOI: https://doi.org/10.1007/BFb0065676
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