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

Michelle Bucher-Karlsson
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Abstract

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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Michelle Bucher-Karlsson. 2007-09-13. The simplicial volume of closed manifolds covered by H^2 x H^2. https://doi.org/10.1112/jtopol%2Fjtn012

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