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Transverse Foliations to Nonsingular Morse–Smale Flows on the 3-Sphere and Bott-Integrable Hamiltonian Systems

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Abstract.

In this note we apply results of Goodman, Yano and Wada to determine which nonsingular Morse–Smale flows on S3 have transverse foliations. We then observe that there is a connection to flows arising from certain Hamiltonian systems and from certain contact structures.

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  1. Department of Mathematics (4408), Southern Illinois University, Carbondale, IL, 62901, USA

    Michael C. Sullivan

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  1. Michael C. Sullivan
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Correspondence to Michael C. Sullivan.

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Sullivan, M.C. Transverse Foliations to Nonsingular Morse–Smale Flows on the 3-Sphere and Bott-Integrable Hamiltonian Systems. Qual. Theory Dyn. Syst. 7, 411–415 (2009). https://doi.org/10.1007/s12346-008-0023-0

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  • DOI: https://doi.org/10.1007/s12346-008-0023-0

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