ON THE EXISTENCE OF DISK-LIKE GLOBAL SECTIONS FOR REEB FLOWS ON THE TIGHT 3-SPHERE

Hryniewicz, Umberto; Salomao, Pedro A. S.

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

ON THE EXISTENCE OF DISK-LIKE GLOBAL SECTIONS FOR REEB FLOWS ON THE TIGHT 3-SPHERE

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Author(s):	Hryniewicz, Umberto ^[1] ; Salomao, Pedro A. S. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Rio de Janeiro, Dept Matemat Aplicada, Inst Matemat, Rio De Janeiro - Brazil ^[2] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, BR-05508 Sao Paulo - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Duke Mathematical Journal; v. 160, n. 3, p. 415-465, 2011.
Web of Science Citations:	11
Abstract
We consider Reeb dynamics on the 3-sphere associated to a tight contact form. Our main result gives necessary and sufficient conditions for a periodic Reeb orbit to bound a disk-like global section for the Reeb flow, when the contact form is assumed to be nondegenerate. (AU)

FAPESP's process:	06/03829-2 - Dynamic in low dimensions
Grantee:	André Salles de Carvalho
Support Opportunities:	Research Projects - Thematic Grants

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