The simplicial volume of closed manifolds covered by H^2 x H^2

Details The simplicial volume of closed manifolds covered by H^2 x H^2 The simplicial volume of closed manifolds covered by H^2 x H^2

2007-03-20

arxiv.org/abs/math/0703587v2

Mathematics

Differential Geometry

19 pages; added consequences: Milnor-Wood type inequality, nonexistence of affine structure

Scientific paper

We compute the value of the simplicial volume for closed, oriented Riemannian
manifolds covered by $\mathbb{H}^{2}\times\mathbb{H}^{2}$ 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.

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