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Modulus of elementary domains in the hyperbolic plane

Platis, Ioannis D.
arXiv (All) · Papers
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31a15complex-variables
We study the modulus of curve families inside elementary domains in the hyperbolic plane $\bH^1_\C$. We establish exact expressions for the modulus of connecting and separating curve families in a hyperbolic circular annulus. For the symmetric hyperbolic quadrilateral $Q(a,b)$, we obtain lower bound
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