Compact Non-orientable Hyperbolic Surfaces with an Extremal Metric Disc
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چکیده
The size of a metric disc embedded in a compact non-orientable hyperbolic surface is bounded by some constant depending only on the genus g ≥ 3. We show that a surface of genus greater than six contains at most one metric disc of the largest radius. For the case g = 3, we carry out an exhaustive study of all the extremal surfaces, finding the location of every extremal disc inside them.
منابع مشابه
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تاریخ انتشار 2007