On geodesic homotopies of controlled width and conjugacies in isometry groups

Details On geodesic homotopies of controlled width and conjugacies in isometry groups On geodesic homotopies of controlled width and conjugacies in isometry groups

2007-09-21

arxiv.org/abs/0709.3469v2

Mathematics

Geometric Topology

minor stylistic corrections; 15 pages

Scientific paper

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.

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