Simplicial volume of closed locally symmetric spaces of non-compact type

Details Simplicial volume of closed locally symmetric spaces of non-compact type Simplicial volume of closed locally symmetric spaces of non-compact type

2005-04-18

arxiv.org/abs/math/0504338v3

Acta Math. 197 (2006), pgs. 129-143

Mathematics

Differential Geometry

15 pages; minor typos corrected, typesetting changes, some references added

Scientific paper

We show that compact, locally symmetric spaces of non-compact type have
positive simplicial volume. This gives a positive answer to a question that was
first raised by Gromov in 1982. We provide a summary of results that are known
to follow from positivity of the simplicial volume.

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