References
L. V. Ahlfors,Conformal Invariants; Topics in Geometric Function Theory, McGraw-Hill, 1973.
L. V. Ahlfors and L. Bers,Riemann's mapping theorem for variable metrics, Ann. of Math.72 (1960), 385–404.
L. Bers,On moduli of Riemann surfaces, Lectures at Forschunginstitut für Mathematik, Eidgenossische Technische Hochschule, Zurich, summer 1964 (not published).
L. Bers,Inequalities for finitely generated Kleinian groups, J. Analyse Math.18 (1967), 23–41.
C. J. Earle,Teichmüller spaces of groups of the second kind, Acta Math.112 (1964), 91–97.
C. J. Earle and A. Schatz,Teichmüller theory for surfaces with boundary, J. Differential Geometry4 (1970), 169–185.
F. P. Gardiner,Schiffer's interior variation and quasiconformal mapping, Duke Math. J.42 (1974), 371–380.
F. P. Gardiner,The existence of Jenkins-Strebel differentials from Teichmüller theory, Amer. J. Math.99 (1977), 1097–1104.
Ignacio Guerrero,On moduli of multiply connected plane domains, Thesis, SUNY at Stony Brook, May 1975.
M. Schiffer and D. C. Spencer,Functionals of Finite Riemann Surfaces, Princeton University Press, Princeton, N. J., 1954.
K. Strebel,On quadratic differentials and extremal quasiconformal mappings, Lecture Notes, University of Minnesota, spring 1967.
S. Wolpert,The Weil-Petersson metric for Teichmüller space and the Jenkins-Strebel differentials, Thesis, Stanford University, May 1976.
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This research was supported in part by a grant from the National Science Foundation, grant no. MCS77-01711.
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Gardiner, F.P. On relative Teichmüller spaces and a globalization principle in Riemann surface theory. J. Anal. Math. 35, 1–12 (1979). https://doi.org/10.1007/BF02791060
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DOI: https://doi.org/10.1007/BF02791060