论文标题
$ \ mathbb {c}^2 $的实质性碟片和Segre品种
Extremal discs and Segre varieties for real-analytic hypersurfaces in $\mathbb{C}^2$
论文作者
论文摘要
我们表明，如果以$ \ mathbb {c}^2 $中的严格伪convex hypersurface的Segre品种是Kobayashi公制的极端光盘，那么Hypersurface必须是本地球形的。特别是，这从两个重要的物体偶发的家族的家族的角度来看，这给了单位球的另一个表征。
We show that if the Segre varieties of a strictly pseudoconvex hypersurface in $\mathbb{C}^2$ are extremal discs for the Kobayashi metric, then that hypersurface has to be locally spherical. In particular, this gives yet another characterization of the unit sphere in terms of two important invariant families of objects coinciding.
