arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.6827math.DG
收藏

2次和3次酉赋值的Aleksandrov-Fenchel不等式

Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3

Judit Abardia, Thomas Wannerer

摘要:

我们将经典的Aleksandrov-Fenchel不等式推广到埃尔米特积分几何中自然产生的泛函上。作为结果,我们得到了埃尔米特实积分的Brunn-Minkowski不等式和等周不等式.

英文摘要:

We extend the classical Aleksandrov-Fenchel inequality for mixed volumes to functionals arising naturally in hermitian integral geometry. As a consequence, we obtain Brunn-Minkowski and isoperimetric inequalities for hermitian quermassintegrals.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑