Homological norms on nonpositively curved manifolds
Chris Connell
Indiana University, Bloomington, USAShi Wang
ShanghaiTech University, China
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Abstract
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 the underlying manifold. Along the way, we provide comparisons to other related norms and quantities as well.
Cite this article
Chris Connell, Shi Wang, Homological norms on nonpositively curved manifolds. Comment. Math. Helv. 97 (2022), no. 4, pp. 801–825
DOI 10.4171/CMH/550