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

Research paper by J. -F. Lafont, B. Schmidt

Indexed on: 26 Apr '05Published on: 26 Apr '05Published in: Mathematics - Differential Geometry



Abstract

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.