Lengths of circular trajectories on geodesic spheres in a complex projective space (Q638736)
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scientific article; zbMATH DE number 5947445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lengths of circular trajectories on geodesic spheres in a complex projective space |
scientific article; zbMATH DE number 5947445 |
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Lengths of circular trajectories on geodesic spheres in a complex projective space (English)
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14 September 2011
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In this interesting paper, the authors study the trajectories for Sasakian magnetic fields which are also circles of positive geodesic curvature on geodesic spheres in a complex projective space. They give a condition for the trajectories to be closed and find an expression of the lengths of closed circular trajectories. Finally, using the lengths of circles on a complex projective space, they estimate the length of shortest closed circular trajectories.
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geodesic spheres
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Sasakian magnetic fields
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circular trajectories
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extrinsic shapes
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length spectrum
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