1) Totally real bisectional curvature
全实双截面曲率
2) holomorphic sectional curvature
全纯截面曲率
3) holomorphic bisectional curvature
双截曲率
4) sectional curvature
截面曲率
1.
On pinching problem of sectional curvature on minimal submanifolds in a symmetric space;
局部对称黎曼流形中极小子流形的截面曲率的pinching问题
2.
Let Mmbe a compact submanifold with positive sectional curvature of a space form Nn(c).
设Mm是空间形式Nn(c)中具有正截面曲率的紧致子流形,证明了如果n-m≥2,Mm的平均曲率向量关于法联络平行且不为零,则在Mm中不存在稳定积分流,且Mm的同调群消没。
3.
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。
5) holomorphic sectional curvature
全纯截曲率
1.
The complete Einstein-Khler metric and the holomorphic sectional curvature on Cartan-Hartogs domain of the third type;
第三类超Cartan域的完备Einstein-Khler度量及其全纯截曲率
2.
The complete Einstein-Khler metric on Cartan-Hartogs domain of the second type and holomorphic sectional curvature;
第二类超Cartan域的完备Einstein-Khler度量及其全纯截曲率
3.
In this paper,the explicit form of Einstein-Khler metric of Hua construction of the second-type HCⅡ(p(p+1)/4+1,p+1/2) is proposed,and the holomorphic sectional curvature under this metric is given.
给出一类特殊第二类华结构HCⅡp((p+1)/4+1,p+1/2)的Einstein-Khler度量的显表达式,并计算了在此度量下的全纯截曲率。
6) hyperbolic arch section
双曲拱截面
1.
Research on application of change from hyperbolic arch section into box section
改双曲拱截面为箱形截面技术的应用研究
补充资料：截面曲率
截面曲率
sectional curvature
截面曲率汇，犯柱佣目~撅;ee料。o。”曲冲加朋3.a]，亦称截曲率 可微R正仃以nn流形M在一点p沿一个二维平面“的方向(沿在P任M确定“的二重向量的方向)的RIOm.”n曲率(Rlenlannlan cun忍tLu℃). JI .A.C朋opoa撰[补注]
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