On the Filling Invariants at Infinity of Hadamard Manifolds
Differential Geometry
2007-05-23 v3
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.
Keywords
Cite
@article{arxiv.math/0401162,
title = {On the Filling Invariants at Infinity of Hadamard Manifolds},
author = {Mohamad A. Hindawi},
journal= {arXiv preprint arXiv:math/0401162},
year = {2007}
}
Comments
19 pages; New results have been added (section 5). To appear in Geometriae Dedicata