English

Filling-invariants at infinity for manifolds of nonpositive curvature

Differential Geometry 2009-09-25 v1

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.

Keywords

Cite

@article{arxiv.math/9504207,
  title  = {Filling-invariants at infinity for manifolds of nonpositive curvature},
  author = {Noel Brady and Benson Farb},
  journal= {arXiv preprint arXiv:math/9504207},
  year   = {2009}
}