Groups, Geometry, and Dynamics


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Volume 7, Issue 4, 2013, pp. 911–929
DOI: 10.4171/GGD/210

Published online: 2013-11-20

On geodesic homotopies of controlled width and conjugacies in isometry groups

Gerasim Kokarev[1]

(1) Ludwig-Maximilians-Universität München, Germany

We give an analytical proof of the Poincaré-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: Homotopy width, harmonic maps, Hadamard space, decision problems

Kokarev Gerasim: On geodesic homotopies of controlled width and conjugacies in isometry groups. Groups Geom. Dyn. 7 (2013), 911-929. doi: 10.4171/GGD/210