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A note on magnetic curves on image - MaRDI portal

A note on magnetic curves on image (Q2450282)

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A note on magnetic curves on image
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    A note on magnetic curves on image (English)
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    19 May 2014
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    In this brief note the authors present a continuation and a clarification of some aspects of their previous work on magnetic curves in Sasakian and cosymplectic manifolds. They prove that a normal magnetic curve on the Sasakian sphere \(\mathbb{S}^{2n+1}\) lies on a totally geodesic sphere \(\mathbb{S}^3\) and the Sasakian structure on \(\mathbb{S}^3\) is the structure induced by \(\mathbb{S}^{2n+1}\).
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    magnetic curves
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    Sasakian manifolds
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    cosymplectic manifolds
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