Keywords
- Riemann Surface
- Variational Problem
- Quasiconformal Mapping
- Quadratic Differential
- Conformal Structure
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References
L. Bers. Quasiconformal mappings and Teichmuller’s theorem; Analytic Functions, Princeton University Press, Princeton (1960), 89–119.
____. A remark on Mumford’s compactness theorem, Israel J. of Math., 12 (1972), 400–407.
_____. Nielsen extensions of Riemann surfaces, Ann. Acad. Sci. Fenn., 2 (1976), 197–22.
_____. An extremal problem for quasiconformal mappings and a theorem by Thurston, to appear.
J. P. Matelski. A compactness theorem for Fuchsian groups of the second kind, Duke Math. J., 43 (1976), 829–840.
D. Mumford. A remark on Mahler’s compactness theorem, Proc. Amer. Math. Soc., 28 (1971), 289–294.
W.P. Thurston. On the geometry and dynamics of diffeomorphisms of surfaces, I, to appear.
S. Wolpert. The length spectrum of a compact Riemann surface, I, to appear.
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© 1979 Springer-Verlag
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Bers, L. (1979). An application of quasiconformal mappings to topology. In: Cazacu, C.A., Cornea, A., Jurchescu, M., Suciu, I. (eds) Romanian-Finnish Seminar on Complex Analysis. Lecture Notes in Mathematics, vol 743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079483
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DOI: https://doi.org/10.1007/BFb0079483
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