Filling-invariants at infinity for manifolds of nonpositive curvature

Brady, Noel; Farb, Benson

doi:10.1090/S0002-9947-98-02317-4

Filling-invariants at infinity for manifolds of nonpositive curvature
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by Noel Brady and Benson Farb

Trans. Amer. Math. Soc. 350 (1998), 3393-3405

DOI: https://doi.org/10.1090/S0002-9947-98-02317-4

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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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