论文标题
极端刻有和限制的复杂椭圆形
Extremal inscribed and circumscribed complex ellipsoids
论文作者
论文摘要
我们证明，如果CN中设置的凸面包含两个刻有最大体积的复杂椭圆形，那么一个是另一个翻译。另一方面，限制的最小体积的复合体元素是独一无二的。作为应用，我们证明了布伦（Brunn）对椭圆形脚架（Ellipsods）表征的复杂类似物。
We prove that if a convex set in Cn contains two inscribed complex ellipsoid of maximal volume then one is a translate of the other. On the other hand, the circumscribed complex elipsoid of minimal volume is unique. As application we prove the complex analoge of Brunn's characterization of ellipsods.
