2000 character limit reached
Systolic inequalities for S1-invariant contact forms in dimension three (2412.07476v1)
Published 10 Dec 2024 in math.SG, math.DG, and math.DS
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.