研究一类局部对称Riemann流形的紧致超曲面，得到了使浸入超曲面的第二基本形式模长的平方为常数的几个充分条件。
Some sufficient conditions arc obtained, under which the Square length of the second fundamental form of the immerse hypcrsurfaces is a constant.
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。
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.
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