讨论局部对称空间中具有平行平均曲率向量的子流形,得到其关于第二基本形式模长平方的积分不等式的相关定理。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
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.
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。
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).
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.
第二部分介绍了图尔敏论证模式的构造要素和基本形式。
The second part introduces the six elements and the basic forms of Toulmin s model of argument.
第二章,从知识产权滥用问题入手,讨论了知识产权滥用的出现、知识产权滥用的界定,以及反垄断法领域中知识产权滥用的基本形式;
Then in the second chapter, through analyzing the abuse of intellectual property rights, discusses the occurrence, definition and basic forms of abusing intellectual property rights.
第二部分通过对形容词重叠的基本形式及特征的描写,深化对于形容词重叠的认识。
The second part, according to the description of adjective overlap's fundamental mode and the characteristic, and deepens the understanding of the adjective overlap.
第二章介绍了构造生命表的基本方法和框架,以及选择-终极生命表的基本形式。
In Chapter 2, the basic methods and the framework of Life Table and the basic form of Select-and-ultimate Tables are introduced.
第二章介绍了构造生命表的基本方法和框架,以及选择-终极生命表的基本形式。
In Chapter 2, the basic methods and the framework of Life Table and the basic form of Select-and-ultimate Tables are introduced.
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