Morse foliations of codimension one on the sphere $S^{3}$
Volume 259 / 2022
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.
