Platonic Surfaces
نویسنده
چکیده
If SO is a Riemann surface with a complete metric of finite area and constant curvature −1, let SC denote the conformal compactification of SO. We show that, under the assumption that the cusps of SO are large, there is a close relationship between the hyperbolic metrics on SO and SC . We use this relationship to show that lim infk→∞ λ1(Pk) ≥ 5/36, where the Platonic surface Pk is the conformal compactification of the modular surface Sk. Mathematics Subject Classification (1991). 58G99.
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تاریخ انتشار 1998