Loxodromic Mobius Transformations with Disjoint Axes
Tan-Ran Zhang
TL;DR
This paper investigates loxodromic Möbius transformations with disjoint axes in Kleinian groups, focusing on the distance between axes and providing estimates for their translation lengths.
Contribution
It offers new estimates for the translation lengths of disjoint-axis loxodromic Möbius transformations in Kleinian groups.
Findings
Derived bounds on the distance between axes.
Provided estimates for translation lengths.
Enhanced understanding of geometric properties of Kleinian groups.
Abstract
This paper is concerned with Loxodromic Mobius Transformations with disjoint Axes in a Kleinian Group. We study mainly the distance between their axes, and give some estimates about their translation lengths.
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Taxonomy
TopicsMathematics and Applications · Mathematical Dynamics and Fractals · History and Theory of Mathematics