最小球B*的Ka¨hler相关性
The Ka¨hler Relatives of the Minimal Ball B*
摘要: 在这篇文章中,我们研究了最小球B*的Kähler几何性质。主要探索了赋予Bergman度量的最小球B*和复欧式空间ℂn的相关性问题。本文借助最小球B*的Bergman核函数的具体形式以及纳什代数函数的性质,发现最小球B*和ℂn不存在共同的Kähler子流形,即B*和ℂn是Kähler不相关的。
Abstract: In this article, we focus on the common Kähler submanifold problem of the minimal ball B* and the complex Euclidean space ℂn. By using the specific form of the Bergman kernel function of B*, we find that there is no Kähler submanifold between B* and ℂn. That is, B* and ℂn are Kähler irrelevant.
文章引用:张倩男. 最小球B*的Ka¨hler相关性[J]. 理论数学, 2021, 11(5): 731-738. https://doi.org/10.12677/PM.2021.115088

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