论文标题
相对于Kobayashi距离的本地和全球可见性概念,比较
Local and global notions of visibility with respect to Kobayashi distance, a comparison
论文作者
论文摘要
在本说明中,我们介绍了相对于复杂欧几里得空间中域的Kobayashi距离的可见边界点的概念。在Sarkar的工作之后,我们获得了有关可见边界点附近的Kobayashi距离的添加和乘法定位结果。然后,使用加法定位结果,我们表明有关Kobayashi距离的可见性属性是边界点的局部属性,并且不取决于域。
In this note, we introduce the notion of visible boundary points with respect to Kobayashi distance for domains in complex euclidean space. Following the work of Sarkar, we obtain additive and multiplicative localization results about Kobayashi distance near visible boundary points. Then using the additive localization result, we show that visibility property with respect to Kobayashi distance is a local property of the boundary points and it does not depend on the domain.