On the Filling Invariants at Infinity of Hadamard Manifolds

Details On the Filling Invariants at Infinity of Hadamard Manifolds On the Filling Invariants at Infinity of Hadamard Manifolds

2004-01-14

arxiv.org/abs/math/0401162v3

Geom. Dedicata 116 (2005), 67-85

Mathematics

Differential Geometry

19 pages; New results have been added (section 5). To appear in Geometriae Dedicata

Scientific paper

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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