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On the Filling Invariants at Infinity of Hadamard Manifolds

Mohamad A. Hindawi
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Abstract

We study the filling invariants at infinity div_{k} for Hadamard manifolds defined by Brady and Farb in [Filling-invariants at infinity for manifolds of nonpositive curvature]. Among other results, we give a positive answer to the question they posed: whether these invariants can be used to detect the rank of a symmetric space of noncompact type.

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Mohamad A. Hindawi. 2005-06-13. On the Filling Invariants at Infinity of Hadamard Manifolds. https://arxiv.org/abs/math/0401162

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