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arXiv · 2407.03803

Extending Gromov's optimal systolic inequality

Thomas G. Goodwillie·James J. Hebda·Mikhail G. Katz
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Abstract

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 (tight). Gromov proved an {optimal} systolic inequality for complex projective space. We provide a natural extension of Gromov's inequality to manifolds whose fundamental cohomology class is a cup product of 2-dimensional classes.

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Thomas G. Goodwillie, James J. Hebda, Mikhail G. Katz. 2024-07-04. Extending Gromov's optimal systolic inequality. https://doi.org/10.1007/s00022-023-00685-3

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