This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L.V. Ahlfors, Lectures on Quasiconformal Mappings, (Princeton, N.J.: Van Nostrand, 1966.
_____, "An extension of Schwarz's lemma", Trans. Am. Math. Soc. 43 (1938), 359–364.
L.V. Ahlfors, and L. Bers, "Riemann's mapping theorem for variable metrics," Ann. of Math. 72 (1960), 385–404.
L. Bers, "A new proof of a fundamental inequality for quasiconformal mappings," J. d'Analyse Math. 36 (1979), 15–30.
___, "Automorphic forms and Poincaré series for infinitely generated Fuchsian groups", Amer. J. Math. 87 (1965), 196–214.
M.M. Day, Normed Linear Spaces, Academic Press, New York, 1962.
C.J. Earle, and J. Eells, "On the differential geometry of Teichmüller spaces," J. Analyse Math. 19 (1967), 35–52.
F.P. Gardiner, "An analysis of the group operation in universal Teichmüller space," Trans. Amer. Math. Soc. 132 (1968), 471–486.
_____, "Approximation of infinite dimensional Teichmüller spaces," to appear.
R.S. Hamilton, "Extremal quasiconformal mappings with prescribed boundary values," Trans. Amer. Math. Soc. 138 (1969), 399–406.
S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, Inc. N.Y., 1970.
B. O'Byrne, "On Finsler geometry and applications to Teichmüller spaces," (Ahlfors et al., ed.) Ann. of Math. Studies 66 (1971), 317–328.
E. Reich and K. Strebel, "Extremal quasiconformal mappings with given boundary values," in Contributions to Analysis, 375–392, ed. L.V. Ahlfors et al. (New York and London: Academic Press, 1974).
H. Royden, "Automorphisms and isometries of Teichmüller spaces," (Ahlfors et al, ed.) Ann. of Math. Studies 66 (1971), 365–367.
K. Strebel, "On quasiconformal mappings of open Riemann surfaces," Comment. Math. Helv. 53 (1978), 301–321.
_____, "On the trajectory structure of quadratic differentials," (Greenberg ed.) Ann. of Math. Studies 79 (1974), 419–438.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Spring-Verlay
About this paper
Cite this paper
Gardiner, F.P. (1983). The Teichmuller-kobayashi metric for infinite dimensional complex teichmuller spaces. In: Gallo, D.M., Porter, R.M. (eds) Kleinian Groups and Related Topics. Lecture Notes in Mathematics, vol 971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067073
Download citation
DOI: https://doi.org/10.1007/BFb0067073
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11975-3
Online ISBN: 978-3-540-39426-6
eBook Packages: Springer Book Archive