论文标题
Kotrbaty的估值和几何不平等现象的定理
Kotrbaty's theorem on valuations and geometric inequalities for convex bodies
论文作者
论文摘要
最近,J。Kotrbaty证明了对翻译不变的平滑估值的普遍不平等现象,与Kahler几何形状中的Hodge-Riemann双线关系正式相似。本说明的目的是应用Kotrbaty的定理,以获得一些显然是凸体混合体积的新不平等现象。
Very recently J. Kotrbaty has proven general inequalities for translation invariant smooth valuations formally analogous to the Hodge- Riemann bilinear relations in the Kahler geometry. The goal of this note is to apply Kotrbaty's theorem to obtain a few apparently new inequalities for mixed volumes of convex bodies.