Systolic inequalities for S1-invariant contact forms in dimension three
Symplectic Geometry
2024-12-11 v1 Differential Geometry
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2412.07476,
title = {Systolic inequalities for S1-invariant contact forms in dimension three},
author = {Simon Vialaret},
journal= {arXiv preprint arXiv:2412.07476},
year = {2024}
}
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20 pages