Systolic inequalities for S1-invariant contact forms in dimension three

Published 10 Dec 2024 in math.SG, math.DG, and math.DS | (2412.07476v1)

Abstract: In contact geometry, a systolic inequality is a uniform upper bound on the shortest period of a closed Reeb orbit, in terms of the contact volume. We prove a general systolic inequality valid on Seifert bundles with non-zero Euler number for all contact forms that are invariant under the underlying circle action.

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Authors (1)

Simon Vialaret

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