Algebraic & Geometric Topology Volume 22, issue 3 (2022)

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ISSN (electronic): 1472-2739

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

Mikhail Belolipetsky and Martin Bridgeman

Algebraic & Geometric Topology 22 (2022) 1255–1272

DOI: 10.2140/agt.2022.22.1255

Bibliography

1	I Adeboye, G Wei, On volumes of hyperbolic orbifolds, Algebr. Geom. Topol. 12 (2012) 215 MR2916274
2	A Basmajian, The orthogonal spectrum of a hyperbolic manifold, Amer. J. Math. 115 (1993) 1139 MR1246187
3	M Belolipetsky, Hyperbolic orbifolds of small volume, from: "Proceedings of the International Congress of Mathematicians, II" (editors S Y Jang, Y R Kim, D W Lee, I Yie), Kyung Moon Sa (2014) 837 MR3728640
4	M Belolipetsky, V Emery, Hyperbolic manifolds of small volume, Doc. Math. 19 (2014) 801 MR3247803
5	M V Belolipetsky, S A Thomson, Systoles of hyperbolic manifolds, Algebr. Geom. Topol. 11 (2011) 1455 MR2821431
6	M Bridgeman, J Kahn, Hyperbolic volume of manifolds with geodesic boundary and orthospectra, 20 (2010) 1210 MR2746952
7	D Calegari, Chimneys, leopard spots and the identities of Basmajian and Bridgeman, Algebr. Geom. Topol. 10 (2010) 1857 MR2684984
8	R Kellerhals, Regular simplices and lower volume bounds for hyperbolic n–manifolds, Ann. Global Anal. Geom. 13 (1995) 377 MR1364009
9	R Kellerhals, Volumina von hyperbolischen Raumformen, Habilitationsschrift, Universität Bonn (1995)
10	S Kojima, Y Miyamoto, The smallest hyperbolic 3–manifolds with totally geodesic boundary, J. Differential Geom. 34 (1991) 175 MR1114459
11	H Masai, G McShane, Equidecomposability, volume formulae and orthospectra, Algebr. Geom. Topol. 13 (2013) 3135 MR3248728
12	Y Miyamoto, Volumes of hyperbolic manifolds with geodesic boundary, Topology 33 (1994) 613 MR1293303
13	N G Vlamis, A Yarmola, The Bridgeman–Kahn identity for hyperbolic manifolds with cusped boundary, Geom. Dedicata 194 (2018) 81 MR3798062