1) normal bundle flat
平坦法丛
2) Flat normal bundle
法丛平坦
1.
In this paper the author obtains a rigid result for submanifolds with flat normal bundle and constant scalar curvature in the space form S~(n+p)(c) :Let M~n( n ≥ 3) be a submanifold with parallel normalized mean curvature vector field immersed in the space form S~(n+P)(c) .
得到空间形式S~(n+p)(c)中法丛平坦的常数量曲率子流形的一个刚性定理：设M~n(n≥3)是空间形式S~(n+p)(c)中标准平均曲率向量平行的紧致子流形和M~n的标准数量曲率R为常数。
2.
The Pinching constant is also obtained under the condition that is weaker than flat normal bundle.
通过计算Ricci张量长度平方的Laplace,得到一个新的Simons型不等式;运用该不等式作拼挤,在一个比法丛平坦弱的条件下得到了一个Pinching常数。
3.
We obtained a necessary condition by generalizating the sufficient and necessary condition for the submanifolds with flat normal bundle in the space of constant cutvature of real manifolds; Obtained a rigidity theorem by using the nesessary condition for the Kaehler submanifo.
将实流形中对常曲率空间中法丛平坦的子流形的一个充要条件在CP~(n+p)(1)中进行推广,得到一个相应的必要条件;应用该必要条件研究CP~(n+p)(1)中法丛平坦的Kaehler子流形,得到一个刚性定理;加强子流形的条件,使其具有迷向第二基本形式,得到一个更为深刻的刚性定理; 2。
3) Moebius fiat normal bundle
Moebius平坦法丛
4) flat bundles
平坦丛
5) flat normal bundle
法从平坦
6) flat normal connection
平坦法连络
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