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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Filling-invariants at infinity
for manifolds of nonpositive curvature


Authors: Noel Brady and Benson Farb
Journal: Trans. Amer. Math. Soc. 350 (1998), 3393-3405
MSC (1991): Primary 53C23, 20F32, 57M07
MathSciNet review: 1608281
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Abstract: 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: brady@math.cornell.edu

Benson Farb
Affiliation: Department of Mathematics, University of Chicago\ 5734 University Ave.\ Chicago, Illinois 60637
Email: farb@math.uchicago.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-98-02317-4
PII: S 0002-9947(98)02317-4
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.
Article copyright: © Copyright 1998 American Mathematical Society