1) semi-slant submanifold
半斜子流形
1.
The semi-slant submanifold is a generalization of holomorphicsubmanifold and totally real submanifold.
半斜子流形是全纯子流形和全实子流形的推广，本文主要讨论了Kaehler乘积流形的F-不变乘积半斜子流形，并对其分类；再推广到一般的F-不变半斜子流形的情况，并对其分类。
2) P Sasakian manifold
斜半不变子流形
1.
In this paper we introduce and study the skew semi invariant submanifolds of a P Sasakian manifold, we obtain a sufficient condition for a submani fold of a P Sasakian mani fold to be a skew semi invariant submanifold.
定义并讨论了Ｐ－Ｓａｓａｋｉａｎ流形的子流形为斜半不变子流形的一个充分条件，同时也得到了这类子流形的曲率方面的一些重要结
3) slant submanifold
斜子流形
1.
The semi-slant submanifold is a generalization of holomorphicsubmanifold and totally real submanifold.
半斜子流形是全纯子流形和全实子流形的推广，本文主要讨论了Kaehler乘积流形的F-不变乘积半斜子流形，并对其分类；再推广到一般的F-不变半斜子流形的情况，并对其分类。
2.
Fernandez have studied and characterized slant submanifolds of Sasakian manifolds and they have given some interesting examples of such immersions.
Chen在复流形的子流形上引入了斜浸入的概念(见[16])，在此之后斜子流形的微分几何性质引起了许多学者的关注。
4) semi-invariant submanifold
半不变子流形
1.
In the present paper,a sharp inequality is obtained between the Ricci curvature and the squared mean curvature of semi-invariant submanifolds in cosymplectic space forms,and some conditions are reached to make the equality hold.
对余辛流形的半不变子流形进行研究,利用曲率的分量表示之间的简单的代数关系,得到了这类子流形的R icc i曲率与平均曲率平方之间的一个不等式,并讨论了等式成立的充分必要条件。
2.
Several sufficient and necessary conditions for geodesic property of semi-invariant submanifold in a nearly Sasakian manifold are given.
给出了NearlySasak流形的半不变子流形测地的几个充要条件。
3.
That any semi-invariant submanifold in a nearly Sasakian manifold is trival has been proved.
给出了Nearly Sasak流形的半不变子流形一定平凡。
5) semi invariant submanifold
半不变子流形
1.
That is, ⅰ) Let M be a semi invariant submanifold of a Kenmotsu manifold M .
给出了Kenmotsu流形的子流形成为半不变积的两个充要条件 ,即 :1)设M是Kenmotsu流形M的半不变子流形 ,则M为M的半不变积的充要条件为 :对任意Y∈Γ(TM) ,X ∈Γ(D) ,有 XY∈Γ(D { ξ} ) 。
2.
The semi invariant submanifolds of an (ε) Sasakian manifold are studied,and the sufficient and necessary conditions which make the (ε) Sasakian submanifold semi invariant are obtained.
主要研究（ε）－Ｓａｓａｋｉａｎ流形中的半不变子流形，得到了（ε）－Ｓａｓａｋｉａｎ流形的子流形为半不变子流形的一些充分必要条件。
补充资料：子流形
见微分流形。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条