English

On geodesic homotopies of controlled width and conjugacies in isometry groups

Geometric Topology 2007-10-15 v2 Analysis of PDEs Metric Geometry

Abstract

We give an analytical proof of the Poincare-type inequalities for widths of geodesic homotopies between equivariant maps valued in Hadamard metric spaces. As an application we obtain a linear bound for the length of an element conjugating two finite lists in a group acting on an Hadamard space.

Keywords

Cite

@article{arxiv.0709.3469,
  title  = {On geodesic homotopies of controlled width and conjugacies in isometry groups},
  author = {Gerasim Kokarev},
  journal= {arXiv preprint arXiv:0709.3469},
  year   = {2007}
}

Comments

minor stylistic corrections; 15 pages