论文标题
几乎球形集的定量QuermassIntegral不平等现象
Quantitative Quermassintegral Inequalities for Nearly Spherical Sets
论文作者
论文摘要
在本文中，我们在几乎球形组上建立了定量的Alexandrov-Fenchel不平等现象。特别是，我们从下面的$（k，m）$ - 等级赤字限制了弗兰克非对称性。我们还发现使用球形偏差的$（k，m）$ - 等速缺陷的下限。
In this paper, we establish quantitative Alexandrov-Fenchel inequalities for quermassintegrals on nearly spherical sets. In particular, we bound the $(k,m)$-isoperimetric deficit from below by the Frankael asymmetry. We also find a lower bound on the $(k,m)$-isoperimetric deficit using the spherical deviation.
