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Characterization of some convex curves on the 3-sphere
Published online by Cambridge University Press: 06 October 2025
Abstract
In this paper, we provide a characterization for a class of convex curves on the 3-sphere. More precisely, using a theorem that represents a locally convex curve on the 3-sphere as a pair of curves in 
$\mathbb S^2$, one of which is locally convexand the other is an immersion, we are able of completely characterizing a class of convex curves on the 3-sphere.
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- © The Author(s), 2025. Published by Cambridge University Press on behalf of The Edinburgh Mathematical Society.
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