ON THE RELATION BETWEEN ACTION AND LINKING

Autor(es)

Bechara, Sr., David ; Hryniewicz, Umberto L. ^[1] ; Salomao, Pedro A. S. ^{[2, 3]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF MODERN DYNAMICS; v. 17, p. 319-336, 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 16/25053-8 - Dinâmica e geometria em baixas dimensões
• Beneficiário: André Salles de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Temático