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arXiv · 0712.2214

Large scale geometry of certain solvable groups

Tullia Dymarz
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Abstract

In this paper we provide the final steps in the proof, announced by Eskin-Fisher-Whyte, of quasi-isometric rigidity of a class of non-nilpotent polycyclic groups. To this end, we prove a rigidity theorem on the boundaries of certain negatively curved homogeneous spaces and combine it with work of Eskin-Fisher-Whyte and Peng on the structure of quasi-isometries of certain solvable Lie groups.

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Tullia Dymarz. 2009-12-18. Large scale geometry of certain solvable groups. https://arxiv.org/abs/0712.2214

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