Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces

Eskin, Alex

doi:10.1090/S0894-0347-98-00256-2

Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces
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by Alex Eskin

J. Amer. Math. Soc. 11 (1998), 321-361

DOI: https://doi.org/10.1090/S0894-0347-98-00256-2

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Abstract:

We compute the quasi-isometry group of an irreducible nonuniform lattice in a semisimple Lie group with finite center and no rank one factors, and show that any two such lattices are quasi-isometric if and only if they are commensurable up to conjugation.

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