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Filling-invariants at infinity for manifolds of nonpositive curvature
Author(s):
Noel
Brady;
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.
References:
- [BW]
- J. Block and S. Weinberger, Large scale homology theories and geometry, Geometric Topology (Athens, GA, 1993), AMS/IP Stud. Adv. Math., vol. 2, part 1, Amer. Math. Soc., Providence, RI, 1997, pp. 522-569. CMP 98:01
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- D.B.A. Epstein, J. Cannon, D.F. Holt, S. Levy, M.S. Paterson and W.P. Thurston, Word Processing in Groups, Jones and Bartlett, Boston, MA, 1992. MR 93i:20036
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- A. Eskin and B. Farb, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10 (1997), 653-692. CMP 97:11
- [Ge1]
- S.M. Gersten, Quadratic divergence of geodesics in
 spaces, Geometric and Functional Analysis, 4 (1994), 37-51. MR 95h:53057 - [Ge2]
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- M. Gromov, Asymptotic Invariants of Infinite Groups, Geometric Group Theory, G. Niblo and M. Roller, eds., LMS Lecture Notes 182, Cambridge Univ. Press, 1993, pp. 1-295. MR 95m:20041
- [KL]
- B. Kleiner and B. Leeb, Rigidity of quasi-isometries for symmetric spaces of higher rank, to appear in Publ. Math. IHES.
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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:
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.
Copyright of article:
Copyright
1998,
American Mathematical Society
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