Morse foliations of codimension one on the sphere S^3
Charalampos Charitos
TL;DR
This paper investigates Morse foliations of codimension one on the 3-sphere, establishing the existence of special components and demonstrating their general instability.
Contribution
It introduces new results on the structure and stability of Morse foliations on S^3, highlighting the prevalence of instability.
Findings
Existence of special components in Morse foliations
Most Morse foliations on S^3 are unstable
Structural properties of Morse foliations on the sphere
Abstract
Morse foliations of codimension one 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 can be proven in almost all cases.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals