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Morse foliations of codimension one on the sphere $S^{3}$

Volume 259 / 2022

Charalampos Charitos Fundamenta Mathematicae 259 (2022), 213-242 MSC: Primary 57R30; Secondary 37C20. DOI: 10.4064/fm951-5-2022 Published online: 26 September 2022

Abstract

Morse foliations of codimension 1 on the sphere $S^{3}$ are studied and the existence of special components for these foliations is derived. As a corollary the instability of Morse foliations of $S^{3}$ can be proven provided that the leaves are not all simply connected.

Authors

  • Charalampos CharitosDepartment of Natural Resources Management & Agricultural Engineering
    Agricultural University Athens
    75, Iera Odos
    Athens, Greece
    e-mail

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