Homological norms on nonpositively curved manifolds
Geometric Topology
2022-12-05 v4 Differential Geometry
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
@article{arxiv.1810.00124,
title = {Homological norms on nonpositively curved manifolds},
author = {Chris Connell and Shi Wang},
journal= {arXiv preprint arXiv:1810.00124},
year = {2022}
}
Comments
22 pages, minor changes, final version to appear in Comment. Math. Helv