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

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Belolipetsky,  Mikhail
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Belolipetsky, M., & Bridgeman, M. (2022). Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary. Algebraic & Geometric Topology, 22(3), 1255-1272. doi:10.2140/agt.2022.22.1255.


Cite as: https://hdl.handle.net/21.11116/0000-000A-5794-D
Abstract
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.