Some remarks on the simplicial volume of nonpositively curved manifolds

Chris Connell; Shi Wang

doi:10.1007/s00208-020-01987-6

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arXiv · 1801.08597

Some remarks on the simplicial volume of nonpositively curved manifolds

Chris Connell·Shi Wang

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Abstract

We show that any closed manifold with a metric of nonpositive curvature that admits either a single point rank condition or a single point curvature condition has positive simplicial volume. We use this to provide a differential geometric proof of a conjecture of Gromov in dimension three.

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Chris Connell, Shi Wang. 2019-10-23. Some remarks on the simplicial volume of nonpositively curved manifolds. https://doi.org/10.1007/s00208-020-01987-6

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