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On the existence of disk-like global sections for Reeb flows on the tight 3-sphere - MaRDI portal

On the existence of disk-like global sections for Reeb flows on the tight 3-sphere

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Publication:654871

DOI10.1215/00127094-1444278zbMATH Open1246.53114arXiv1006.0049OpenAlexW3100817842MaRDI QIDQ654871

Author name not available (Why is that?)

Publication date: 23 December 2011

Published in: (Search for Journal in Brave)

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 non-degenerate.


Full work available at URL: https://arxiv.org/abs/1006.0049



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