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math.DG2024
On comass and stable systolic inequalities
James J. Hebda, Mikhail G. Katz
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 Whitne…
math.DG2024★ 4 cited
Extending Gromov's optimal systolic inequality
Thomas G. Goodwillie, James J. Hebda, Mikhail G. Katz
The existence of nontrivial cup products or Massey products in the cohomology of a manifold leads to inequalities of systolic type, but in general such inequalities are not optimal…