Symmetric Decompositions of Free Kleinian Groups and Hyperbolic Displacements
| Autor: | Yüce, İlker S. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4310/CAG.2018.v26.n6.a4 |
| Popis: | In this paper, it is shown that every point in the hyperbolic 3-space is moved at a distance at least $0.5\log\left(12\cdot 3^{k-1}-3\right)$ by one of the isometries of length at most $k\geq 2$ in a 2-generator Klenian group $\Gamma$ which is torsion-free, not co-compact and contains no parabolic. Also some lower bounds for the maximum of hyperbolic displacements given by symmetric subsets of isometries in purely loxodromic finitely generated free Kleinian groups are conjectured. Comment: 62 pages, 3 Figures, Comments are welcome |
| Databáze: | arXiv |
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