Geodesic
On geodesic homotopies of controlled width and conjugacies in isometry groups
Gerasim Kokarev1
1Ludwig-Maximilians-Universität München, Germany
Groups, geometry, and dynamics, Tome 7 (2013) no. 4, pp. 911-929

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DOI

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.
DOI : 10.4171/ggd/210
Classification : 20-XX, 53-XX
Mots-clés : Homotopy width, harmonic maps, Hadamard space, decision problems

Gerasim Kokarev  1

1 Ludwig-Maximilians-Universität München, Germany 
Gerasim Kokarev. On geodesic homotopies of controlled width and conjugacies in isometry groups. Groups, geometry, and dynamics, Tome 7 (2013) no. 4, pp. 911-929. doi: 10.4171/ggd/210
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     author = {Gerasim Kokarev},
     title = {On geodesic homotopies of controlled width and conjugacies in isometry groups},
     journal = {Groups, geometry, and dynamics},
     pages = {911--929},
     year = {2013},
     volume = {7},
     number = {4},
     doi = {10.4171/ggd/210},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/210/}
}
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