Simplicial volume of closed locally symmetric spaces of non-compact type
Differential Geometry
2007-05-23 v3 Geometric Topology
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.
Keywords
Cite
@article{arxiv.math/0504338,
title = {Simplicial volume of closed locally symmetric spaces of non-compact type},
author = {J. -F. Lafont and B. Schmidt},
journal= {arXiv preprint arXiv:math/0504338},
year = {2007}
}
Comments
15 pages; minor typos corrected, typesetting changes, some references added