The spinorial energy functional: solutions of the gradient flow on Berger spheres (Q300423)
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scientific article; zbMATH DE number 6598956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spinorial energy functional: solutions of the gradient flow on Berger spheres |
scientific article; zbMATH DE number 6598956 |
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The spinorial energy functional: solutions of the gradient flow on Berger spheres (English)
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28 June 2016
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The author studies the negative gradient flow of the spinorial energy functional on \(3\)-dimensional Berger spheres. He proves that for some class of spinors the Berger sphere collapse to a \(2\)-dimensional sphere. He also proves that for some special cases the volume normalized standard \(3\)-sphere together with a Killing spinor is a stable critical point of the volume normalized version of the flow.
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spin geometry
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geometric evolution equation
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gradient flow
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Berger spheres
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collapse
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stability
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