Tits Geometry, Arithmetic Groups and the Proof of a Conjecture of Siegel

Details Tits Geometry, Arithmetic Groups and the Proof of a Conjecture of Siegel Tits Geometry, Arithmetic Groups and the Proof of a Conjecture of Siegel

2002-11-21

arxiv.org/abs/math/0211340v1

Mathematics

Differential Geometry

23 pages

Scientific paper

We show that a locally symmetric space of noncompact type and with finite
volume is quasi-isometric to the euclidean cone over a finite simplicial
complex. A detailed analysis of metric properties yields a proof of a
conjecture of Siegel.

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