On vector field generated by the Hopf map $S^3$ on $S^2$
Valerii Dryuma
TL;DR
This paper constructs and analyzes solutions of differential equations generated by the Hopf map from the 3-sphere to the 2-sphere, exploring their properties.
Contribution
It provides explicit examples of solutions generated by the Hopf map and discusses their properties, advancing understanding of vector fields on spheres.
Findings
Explicit solutions of differential equations from the Hopf map
Properties of these solutions are analyzed
Contributions to the study of vector fields on spheres
Abstract
The examples of solutions of the system of differential equations generated by the Hopf map are constructed. Their properties are discussed.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research