Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3
Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3
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DOI：
10.1007/s00526-015-0843-0
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发表时间：
2015-10-01
影响因子：
2.1
通讯作者：
Wannerer, Thomas
中科院分区：
文献类型：
--
作者：
Abardia, Judit;Wannerer, Thomas
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quermass积分的Brunn-Minkowski不等式和等周不等式.
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.