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Construction of nearly hyperbolic distance on punctured spheres
We define a distance function on the bordered punctured disk
in the complex plane, which is comparable with the hyperbolic distance of the
punctured unit disk As an application, we will construct a distance
function on an -times punctured sphere which is comparable with the
hyperbolic distance. We also propose a comparable quantity which is not
necessarily a distance function on the punctured sphere but easier to compute.Comment: 15 page
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