On the Filling Invariants at Infinity of Hadamard Manifolds
Abstract
We study the filling invariants at infinity divk 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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