The simplicial volume of closed manifolds covered by H^2 x H^2
Differential Geometry
2014-02-26 v2 Algebraic Topology
Abstract
We compute the value of the simplicial volume for closed, oriented Riemannian manifolds covered by explicitly, thus in particular for products of closed hyperbolic surfaces. This gives the first exact value of a nonvanishing simplicial volume for a manifold of nonconstant curvature.
Keywords
Cite
@article{arxiv.math/0703587,
title = {The simplicial volume of closed manifolds covered by H^2 x H^2},
author = {Michelle Bucher-Karlsson},
journal= {arXiv preprint arXiv:math/0703587},
year = {2014}
}
Comments
19 pages; added consequences: Milnor-Wood type inequality, nonexistence of affine structure