Systoles on Riemann surfaces.
Paul Schmutz (1994)
Manuscripta mathematica
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Paul Schmutz (1994)
Manuscripta mathematica
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James A. Jenkins, Nobuyuki Suita (1974)
Mathematische Annalen
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James A. Jenkins, Nobuyuki Suita (1973)
Mathematische Annalen
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Mitsuru Nakai, Moses Glasner (1979)
Mathematische Zeitschrift
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Izquierdo, Milagros, Singerman, David (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Nakanishi, Toshihiro, Velling, John A. (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Ngaiming Mok (1981)
Mathematische Annalen
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Reinhold Böhme (1986/87)
Manuscripta mathematica
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V. V. Mityushev (1997)
Annales Polonici Mathematici
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The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
E. Bujalance, J. Gamboa, G. Gromadzki (1993)
Manuscripta mathematica
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Rubén A. Hidalgo (2011)
Fundamenta Mathematicae
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Let S be a compact Klein surface together with a di-analytic involution κ: S → S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that κ can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S...
Wing-Keung To, Lin Weng (1997)
Manuscripta mathematica
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Bujalance, E., Costa, A.F., Singerman, D. (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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E.L. Stout (1967)
Mathematische Zeitschrift
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E.L. Stout (1966)
Mathematische Zeitschrift
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Gabriele Mondello (2011)
Journal of the European Mathematical Society
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We compare some natural triangulations of the Teichmüller space of hyperbolic surfaces with geodesic boundary and of some bordifications. We adapt Scannell–Wolf’s proof to show that grafting semi-infinite cylinders at the ends of hyperbolic surfaces with fixed boundary lengths is a homeomorphism. This way, we construct a family of equivariant triangulations of the Teichmüller space of punctured surfaces that interpolates between Bowditch–Epstein–Penner’s (using the spine construction)...
Gollakota V. V. Hemasundar (2011)
Annales Polonici Mathematici
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We give a complete and transparent proof of Koebe's General Uniformisation Theorem that every planar Riemann surface is biholomorphic to a domain in the Riemann sphere ℂ̂, by showing that a domain with analytic boundary and at least two boundary components on a planar Riemann surface is biholomorphic to a circular-slit annulus in ℂ.