1) C-totally real pseudo-umbilical submanifold
C-全实伪脐子流形
1.
In this paper we discuss the C-totally real pseudo-umbilical submanifolds with parallel unit mean curvature vector of a Sasakian space form.
文章讨论了Sasakian空间形式中标准平均曲率向量平行的C-全实伪脐子流形,得到了紧致的C-全实伪脐子流形的一个刚性结果。
2) pseudo-umbilical submanifold
伪脐子流形
1.
Two Pinching theorems for pseudo-umbilical submanifolds;
伪脐子流形的两个Pinching定理
2.
Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang.
对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行中曲率向量的紧致伪脐子流形,给出了这种伪脐子流形是全脐子流形的3个充分条件,推广了纪永强的相关结果。
3.
For constant submanifolds in locally symmetric space,and pseudo-umbilical submanifold with parallel mean curvature vector in constant space,two sufficient conditions are given for pseudo-umbilical submanifold to be a totally umbilical submanifold in constant space.
研究了2个嵌套空间中子流形,对于局部对称空间中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行平均曲率向量的紧致伪脐子流形,给出了这种伪脐子流形是全脐子流形的两个充分条件。
3) pseudo-umbilical submanifolds
伪脐子流形
1.
The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space;
常曲率空间中具有平行平均曲率的完备伪脐子流形
2.
In this paper,the pseudo-umbilical submanifolds with parallel mean curvature vector in pseudo-Riemannian manifold is discussed.
研究了伪黎曼流形中具有平行平均曲率向量的伪脐子流形,Npn+p为n+p维完备连通伪黎曼流形,它的截面曲率KN满足a≤KN≤b,Mn为Npn+p中紧致的具有平行平均曲率向量的伪脐子流形。
3.
Let be a compact pseudo-umbilical submanifolds with parallel mean curvature vector in the quasi constant curvature space.
设Mn是拟常曲率空间Nn+p中具有平行平均曲率向量的紧致伪脐子流形,论证得到了这种子流形的两个内蕴积分不等式,从而给出了Mn是全脐子流形的两个内蕴充分条件。
4) Pseudoumbilical submanifolds
伪脐子流形
1.
In the first part, we consider the compact totally real pseudoumbilical submanifolds Mn that have nonzero parallel normalized mean curvature vector in complex space forms M(n+p)(c).
(1)讨论了复空间形式(?)~(n+p)((?))中具有非零平行法平均曲率向量的紧致全实伪脐子流形M~n，得到了(ⅰ)如果M~n在其点x的截面曲率的下确界函数K(x)满足条件：则M~n是全脐的。
5) Pseudoumbilical submanifold
伪脐子流形
1.
Let N~n+p(c) be an (n+p)-dimensional Riemannian manifold with constant curvature c and M an n-dimensional compact pseudoumbilical submanifold of N~n+p(c).
讨论了常曲率黎曼流形Nn+p(c)中,具有平行平均曲率向量场的紧致伪脐子流形Mn的第二基本形式的Pinching问题,得到了Simons型不等式(定理2)和丘成桐型不等式(定理1)。
6) pseudo umbilical submanifold
伪脐子流形
1.
In this paper, the author extends the result to the case of pseudo umbilical submanifolds.
作者曾给出复 n维射影空间的 n维紧致全实极小子流形的一个内蕴积分不等式 ,该文将其结果推广到复 n维射影空间的 n维紧致全实伪脐子流形的情
2.
In this paper we discuss the C totally real pseudo umbilical submanifold of a Sasakian space form, a pinching theorem for the length of the second fundamental form is obtained.
本文讨论了Ｓａｓａｋｉａｎ空间型的Ｃ全实伪脐子流形，给出关于第二基本形式长度的一个Ｐｉｎｃｈｉｎｇ定理。
补充资料：全实
1.谓境域完整，地方富裕。
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