Characterization of some convex curves on the 3-sphere
arXiv:2002.03986 · doi:10.1017/S001309152510117X
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.