Abstract
We introduce a 3-parameter family of vector fields on the 3-torus as a linear combination of unit eigenfields of the curl operator for the eigenvalue 2. For this family reminiscent of the classical ABC flow, we study the existence of stationary points, we give numerical evidence for the existence of chaotic regions, and we present an integrable case. Our main result is that the non-vanishing members of the family are associated with tight contact structures.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
