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- W2074006870 abstract "In this paper we describe a function $F_n:{bf R}_+ to {bf R}_{+}$ such that for any hyperbolic n-manifold $M$ with totally geodesic boundary $partial M neq emptyset$, the volume of $M$ is equal to the sum of the values of $F_n$ on the {em orthospectrum} of $M$. We derive an integral formula for $F_n$ in terms of elementary functions. We use this to give a lower bound for the volume of a hyperbolic n-manifold with totally geodesic boundary in terms of the area of the boundary." @default.
- W2074006870 created "2016-06-24" @default.
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- W2074006870 date "2010-02-09" @default.
- W2074006870 modified "2023-09-27" @default.
- W2074006870 title "Hyperbolic volume of n-manifolds with geodesic boundary and orthospectra" @default.
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