Coarse differentiation and quasi-isometries of a class of solvable Lie groups I

Details Coarse differentiation and quasi-isometries of a class of solvable Lie groups I Coarse differentiation and quasi-isometries of a class of solvable Lie groups I

2008-02-19

arxiv.org/abs/0802.2596v1

Mathematics

Metric Geometry

48 pages (10pt, wide textwidth), 8 figures

Scientific paper

This is the first of two papers which aim to understand quasi-isometries of a
subclass 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
subclass is close to a map that respects their group structures.

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