arXiv:2006.12290 Abstract | arXiv Analytics

arXiv:2006.12290 [math.GT]Abstract References Reviews Resources

Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary

Published 2020-06-22Version 1

In this paper we derive explicit estimates for the functions which appear in the previous work of Bridgeman and Kahn. As a consequence, we obtain an explicit lower bound for the length of the shortest orthogeodesic in terms of the volume of a hyperbolic manifold with totally geodesic boundary. We also give an alternative derivation of a lower bound for the volumes of these manifolds as a function of the dimension.

Categories: math.GT

Subjects: 32Q45

Keywords: hyperbolic manifold, orthospectra, explicit lower bound, totally geodesic boundary, shortest orthogeodesic

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