1) curvature bounded below
![点击朗读](/dictall/images/read.gif)
曲率有下界
1.
First of all,we collect the definitions of curvature bounded below and prove that these definitions are equivalent for locally compact intrinsic space.
首先,本文整理了内蕴度量空间曲率有下界的几种定义方式及其等价性,并应用余弦定理给出Alexandrov引理一个新的证明。
2) the infinimum of the sectional curvature
![点击朗读](/dictall/images/read.gif)
截面曲率下确界
3) integral curvature lower bound
![点击朗读](/dictall/images/read.gif)
积分曲率下界
4) infimum of sectional curvature
![点击朗读](/dictall/images/read.gif)
截面曲率的下确界
5) bounded stability in probability
![点击朗读](/dictall/images/read.gif)
概率意义下有界稳定
6) boundary from below
![点击朗读](/dictall/images/read.gif)
下方有界
1.
It is proved that such discontinuous problems has infinitely many eigenvalues and the eigenvalues are boundary from below.
把正则Sturm-Liouville问题关于特征值的性质推广到一类带转移条件的Sturm-Liouville问题中,利用prüfer变换证明了具有分离边界条件的这类问题有无穷多个实特征值,且特征值是下方有界的。
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]
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参考词条