The equations and characteristics of the magnetic curves in the sphere space (Q2425106)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equations and characteristics of the magnetic curves in the sphere space |
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The equations and characteristics of the magnetic curves in the sphere space (English)
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26 June 2019
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Summary: We investigate some geometrical properties of magnetic curves in \(\mathbb{S}^3\) under the action of the Killing magnetic field \(V = a \partial_x + \ b \partial_y + \ c \partial_z\). The other main result is provided about the classification of the equations of the geodesics in \(\mathbb{S}^3\). Moreover, some most relevant graphs of the main results were drawn in this paper.
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Killing magnetic field
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geodesics in \(\mathbb{S}^3\)
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