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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON THE RELATION BETWEEN ACTION AND LINKING

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Author(s):
Bechara, Sr., David ; Hryniewicz, Umberto L. [1] ; Salomao, Pedro A. S. [2, 3]
Total Authors: 3
Affiliation:
[1] Rhein Westfal TH Aachen, Jakobstr 2, D-52064 Aachen - Germany
[2] NYU Shanghai, NYU ECNU Inst Math Sci, 3663 Zhongshan Rd North, Shanghai 200062 - Peoples R China
[3] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF MODERN DYNAMICS; v. 17, p. 319-336, 2021.
Web of Science Citations: 0
Abstract

We introduce numerical invariants of contact forms in dimension three and use asymptotic cycles to estimate them. As a consequence, we prove a version for Anosov Reeb flows of results due to Hutchings and Weiler on mean actions of periodic points. The main tool is the Action-Linking Lemma, expressing the contact area of a surface bounded by periodic orbits as the Liouville average of the asymptotic intersection number of most trajectories with the surface. (AU)

FAPESP's process: 16/25053-8 - Dynamics and geometry in low dimensions
Grantee:André Salles de Carvalho
Support Opportunities: Research Projects - Thematic Grants