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Borel, Armand

Commensurability classes and volumes of hyperbolic 3-manifolds. (English) Zbl 0473.57003

Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 8, 1-33 (1981).
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scan of Zbl 0473.57003

Cited in 7 Reviews
Cited in 93 Documents

MSC:

57N10 Topology of general \(3\)-manifolds (MSC2010)
22E40 Discrete subgroups of Lie groups
22E50 Representations of Lie and linear algebraic groups over local fields
57M05 Fundamental group, presentations, free differential calculus
53C20 Global Riemannian geometry, including pinching
53A35 Non-Euclidean differential geometry

Keywords:

families of commensurable hyperbolic 3-manifolds; infinitely many non- isomorphic minimal elements in a commensurability class; V-manifolds; arithmetically defined fundamental group; discrete subgroup of PGL2(C) of finite covolume; maximal compact subgroups in groups over local fields; volumes of hyperbolic 3-manifolds
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References:

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