On comass and stable systolic inequalities
Differential Geometry
2026-02-20 v2
Abstract
We study the maximum ratio of the Euclidean norm to the comass norm of p-covectors in Euclidean n-space and improve the known upper bound found in the standard references by Whitney and Federer. We go on to prove stable systolic inequalities when the fundamental cohomology class of the manifold is a cup product of forms of lower degree.
Keywords
Cite
@article{arxiv.2411.13966,
title = {On comass and stable systolic inequalities},
author = {James J. Hebda and Mikhail G. Katz},
journal= {arXiv preprint arXiv:2411.13966},
year = {2026}
}
Comments
11 pages. To appear in Differential Geometry and Its Applications