Critical points of the acceleration in \(\mathbb {CP}^{2}\)(4) (Q2643119)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Critical points of the acceleration in \(\mathbb {CP}^{2}\)(4) |
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Critical points of the acceleration in \(\mathbb {CP}^{2}\)(4) (English)
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23 August 2007
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We study the variational problem associated to the \(L^2\) norm of the angular acceleration for curve variations of constant length. We determine the unit speed closed critical curves with constant slant in \(\mathbb{C}\mathbb{P}^2(4)\).
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Riemannian submersion
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Frenet helix
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energy functional
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Riemannian cubic
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\(L^2\) norm
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curve variations
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