The simplicial volume of closed manifolds covered by ℍ2 × ℍ2

By Michelle Bucher-Karlsson. 2007

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We compute the value of the simplicial volume for closed, oriented Riemannian manifolds covered by ℍ2 × ℍ2 explicitly, and thus in particular for products of closed hyperbolic surfaces. This gives the first exact value of a nonvanishing simplicial volume for a manifold not admitting a hyperbolic structure.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/de12cdec817c21ccb260a376cacac4e95a04a9ee