Equidecomposability, volume formulae and orthospectra

Hidetoshi Masai, Greg McShane

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Bridgeman-Kahn and Calegari derived formulae for the volumes of compact hyperbolic n-manifolds with totally geodesic boundary in terms of the orthospectrum. Their methods are apparently different from each other, and involve computing the volume of different subspaces of unit tangent bundle of hyperbolic n-space. In this paper, we show that the two volume formulae coincide. We also derive a closed form of the formula in dimension 3.

本文言語English
ページ(範囲)3135-3152
ページ数18
ジャーナルAlgebraic and Geometric Topology
13
6
DOI
出版ステータスPublished - 2013 9 11

ASJC Scopus subject areas

  • Geometry and Topology

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