Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The volume of a hyperbolic $3$-manifold with Betti number $2$
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by Marc Culler and Peter B. Shalen
Proc. Amer. Math. Soc. 120 (1994), 1281-1288
DOI: https://doi.org/10.1090/S0002-9939-1994-1205485-6

Abstract:

If $M$ is a closed orientable hyperbolic $3$-manifold with first Betti number $2$ then the volume of $M$ exceeds $0.34$.
References
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Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 1281-1288
  • MSC: Primary 57M50; Secondary 20H10
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1205485-6
  • MathSciNet review: 1205485