Moebius second fundamental form is important Moebills invariable on the unit sphere of submanifolds, in this paper, we classify the surface in s ~ 3 with semi-parallel Moebius second fundamental form.

Moebius第二基本形式是单位球面上子流形的重要的Moebius不变量，本文给出了S3中具有半平行Moebius第二基本形式的曲面的分类。

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