The volume of a closed hyperbolic 3-manifold is bounded by 𝜋 times the length of any presentation of its fundamental group

DOI10.1090/S0002-9939-99-05190-4zbMath1058.30037OpenAlexW1528055422MaRDI QIDQ4226308

Daryl Cooper

Publication date: 25 January 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05190-4

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (7)

Large embedded balls and Heegaard genus in negative curvature ⋮ Homotopy type and volume of locally symmetric manifolds ⋮ On the complexity and volume of hyperbolic 3-manifolds ⋮ Stable presentation length of 3-manifold groups ⋮ Small optimal Margulis numbers force upper volume bounds ⋮ Bounds on exceptional Dehn filling. II ⋮ Presentation length and Simon’s conjecture

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