On comass and stable systolic inequalities

2024/11/21 by James J. Hebda, Hebda, James J., Mikhail G. Katz +1 · 1 citation
Computer Science · Mathematics · #53C23 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Equations Stability Results #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2411.13966

openalex publication_date 2024/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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