论文标题
某些Hartogs域和复杂欧几里得空间的子手机
Submanifolds of some Hartogs domain and the complex Euclidean space
论文作者
论文摘要
如果两个Kahler歧管被称为亲戚，如果他们承认具有相同诱导指标的常见的Kahler Submanifold。在本文中，我们表明，配备伯格曼度量的不可还原有限的对称域上的Hartogs域不是相对于复杂的欧几里得空间的。这概括了[5，4]中的结果，这里的新颖性是Hartogs域的Bergman内核不一定是NASH代数。
Two Kahler manifolds are called relatives if they admit a common Kahler submanifold with the same induced metrics. In this paper, we show that a Hartogs domain over an irreducible bounded symmetric domain equipped with the Bergman metric is not a relative to the complex Euclidean space. This generalizes the results in [5, 4] and the novelty here is that the Bergman kernel of the Hartogs domain is not necessarily Nash algebraic.
