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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Filling-invariants at infinity for manifolds of nonpositive curvature
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by Noel Brady and Benson Farb PDF
Trans. Amer. Math. Soc. 350 (1998), 3393-3405 Request permission


In this paper we construct and study isoperimetric functions at infinity for Hadamard manifolds. These quasi-isometry invariants give a measure of the spread of geodesics in such a manifold.
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Additional Information
  • Noel Brady
  • Affiliation: Department of Mathematics, Cornell University Ithaca, New York 14853
  • Email:
  • Benson Farb
  • Affiliation: Department of Mathematics, University of Chicago 5734 University Ave. Chicago, Illinois 60637
  • MR Author ID: 329207
  • Email:
  • Received by editor(s): April 18, 1995
  • Received by editor(s) in revised form: October 25, 1996
  • Additional Notes: The second author is supported in part by an N.S.F. Postdoctoral Fellowship.
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 3393-3405
  • MSC (1991): Primary 53C23, 20F32, 57M07
  • DOI:
  • MathSciNet review: 1608281