论文标题
具有所有特征平面的凸体
Convex bodies with all characteristics planar
论文作者
论文摘要
我们表明,具有$ n> 1 $的符号$ \ mathbb r^{2n} $中的平滑而强烈的凸体具有所有特征平面,或所有外台球轨迹平面是球的仿射符号图像。
We show that smooth and strongly convex bodies in the symplectic $\mathbb R^{2n}$ for $n>1$ with all characteristics planar, or all outer billiard trajectories planar are affine symplectic images of balls.