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We give sharp upper bounds on the injectivity radii of complete hyperbolic surfaces of finite area with some geodesic boundary components. The given bounds are over all such surfaces with… Click to show full abstract
We give sharp upper bounds on the injectivity radii of complete hyperbolic surfaces of finite area with some geodesic boundary components. The given bounds are over all such surfaces with any fixed topology; in particular, boundary lengths are not fixed. This extends the first author’s earlier result to the with-boundary setting. In the second part of the paper we comment on another direction for extending this result, via the systole of loops function.
Keywords:
injectivity radius;
radius hyperbolic;
geodesic boundary;
hyperbolic surfaces;
maximal injectivity;
surfaces geodesic
Journal Title: Geometriae Dedicata
Year Published: 2018
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Journal Title: Geometriae Dedicata
Year Published: 2018
Link to full text (if available)
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recommendations!