Abstract
This is the first of two consecutive papers that aim to understand quasi-isometries of a class of unimodular split solvable Lie groups. In the present paper, we show that locally (in a coarse sense), a quasi-isometry between two groups in this class is close to a map that respects their group structures. In the following paper we will use this result to show quasi-isometric rigidity.
Citation
Irine Peng. "Coarse differentiation and quasi-isometries of a class of solvable Lie groups I." Geom. Topol. 15 (4) 1883 - 1925, 2011. https://doi.org/10.2140/gt.2011.15.1883
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