on the second fundamental form 第二基本形式
parallel the second fundamental form 平行第二基本形式
the moebius second fundamental form moebius第二基本形式
Some sufficient conditions arc obtained, under which the Square length of the second fundamental form of the immerse hypcrsurfaces is a constant.
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。
By using an inequality relation between a scalar curvature and the length of the second fundamental form, it is proved that sectional curvatures of a submanifold must be nonnegative (or positive).
利用数量曲率与第二基本形式长度之间的一个不等式关系，证明了其子流形的截面曲率一定非负(或者为正)，并将此应用到紧致子流形上，得到一些结果。
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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