On comass and stable systolic inequalities

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Authors: James J. Hebda, Mikhail G. Katz
Cited by: 1
References: 10

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.

Fields of Study & Subjects

Holomorphic and Operator Theory Advanced Banach Space Theory Functional Equations Stability Results

Publication details

Journal / source
Differential Geometry and its Applications
Publisher
Elsevier BV
Volume
103
Pages
102360–102360
Publication date
24 February 2026
Language
EN