On geodesic homotopies of controlled width and conjugacies in isometry groups

Kokarev, Gerasim (2013): On geodesic homotopies of controlled width and conjugacies in isometry groups. In: Groups Geometry and Dynamics, Vol. 7, No. 4: pp. 911-929

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.

• Item Type: Journal article
• Form of publication: Publisher's Version
• Keywords: Homotopy width; harmonic maps; Hadamard space; decision problems
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1661-7207
• Alliance/National Licence: This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
• Language: English