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arXiv · 2002.03986

Characterization of some convex curves on the 3-sphere

Emília Alves
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Abstract

In this paper we provide a characterization for a class of convex curves on the 3-sphere. More precisely, using a theorem that decomposes a locally convex curve on the 3-sphere as a pair of curves on the 2-sphere, one of which is locally convex and the other is an immersion, we are capable of completely characterize a class of convex curves on the 3-sphere.

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Emília Alves. 2020-02-10. Characterization of some convex curves on the 3-sphere. https://doi.org/10.1017/s001309152510117x

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