论文标题
$ \ mathbb {s}^2 $上的对数能量的下限,以及$ \ mathbb {s}^n $上的绿色能量
A lower bound for the logarithmic energy on $\mathbb{S}^2$ and for the Green energy on $\mathbb{S}^n$
论文作者
论文摘要
我们展示了单位球上对数能量的最清晰的下限的替代证明,$ \ mathbb {s}^2 $。然后,我们将此证明概括为在单位$ n $ -sphere $ \ mathbb {s}^n $上获得绿色能源的新下限。
We show an alternative proof of the sharpest known lower bound for the logarithmic energy on the unit sphere $\mathbb{S}^2$. We then generalize this proof to get new lower bounds for the Green energy on the unit $n$-sphere $\mathbb{S}^n$.