The Mapping by Heights for Quadratic Differentials in the Disk
نویسنده
چکیده
The heights of simple closed loops with respect to a holomorphic quadratic diierential play an important role on compact Riemann surfaces. Here, the analogue is developed for quadratic diierentials of nite norm in the disk. The height of a loop is replaced by the height of a cross cut, which is the same as the vertical distance, with respect to the q.d., of its end points.
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