Geodesic
Coarse differentiation and quasi-isometries of a class of solvable Lie groups I
Peng, Irine1
1 Department of Mathematics, Indiana University, 831 E 3rd St, Bloomington IN 47401, USA
Geometry & topology, Tome 15 (2011) no. 4, pp. 1883-1925.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2011.15.1883
Keywords: quasi-isometry, solvable group, rigidity

Peng, Irine 1

1 Department of Mathematics, Indiana University, 831 E 3rd St, Bloomington IN 47401, USA 
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Peng, Irine. Coarse differentiation and quasi-isometries of a class of solvable Lie groups I. Geometry & topology, Tome 15 (2011) no. 4, pp. 1883-1925. doi : 10.2140/gt.2011.15.1883. http://geodesic.mathdoc.fr/articles/10.2140/gt.2011.15.1883/

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