Flux surface: Difference between revisions

no edit summary
No edit summary
No edit summary
Line 8: Line 8:


In three dimensions, the only closed flux surface corresponding to a ''non-vanishing'' vector field is a topological toroid.
In three dimensions, the only closed flux surface corresponding to a ''non-vanishing'' vector field is a topological toroid.
<ref>The Poincaré-Hopf Theorem.</ref>
<ref>[[:Wikipedia:Hairy_ball_theorem|The Poincaré-Hopf Theorem]].</ref>
This fact lies at the basis of the design of magnetic confinement devices.
This fact lies at the basis of the design of magnetic confinement devices.