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arxiv: math/0504338 · v3 · submitted 2005-04-18 · 🧮 math.DG · math.GT

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

classification 🧮 math.DG math.GT
keywords simplicialvolumelocallynon-compactpositivespacessymmetrictype
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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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