论文标题

在3杆上的某些凸曲线表征

Characterization of some convex curves on the 3-sphere

论文作者

Alves, Emília

论文摘要

在本文中,我们为三个球体上的一类凸曲线提供了表征。更准确地说,使用一个定理,该定理将3速率的局部凸曲线分解为2个球体上的一对曲线,其中一个是局部凸,另一个是沉浸式的,我们能够完全表征3个速率上的一类凸曲线。

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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