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math.GT2018
Homological norms on nonpositively curved manifolds
Chris Connell, Shi Wang
We relate the Gromov norm on homology classes to the harmonic norm on the dual cohomology and obtain double sided bounds in terms of the volume and other geometric quantities of th…
math.GT2018★ 6 cited
Some remarks on the simplicial volume of nonpositively curved manifolds
Chris Connell, Shi Wang
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 simplici…