$\mathbb C^n$ 中域的不变距离的量化的局部化与比较
复变函数
2024-05-28 v3
摘要
当点以适当的几何性质趋于边界点时，我们得到了 中某域的“局部”与“全局”Kobayashi 距离之差与之比的显式界。我们将其用于各种不变距离的全局比较。我们在维数 的情形下给出了一些尖锐估计。
引用
@article{arxiv.2109.01944,
title = {Quantitative localization and comparison of invariant distances of domains in $\mathbb C^n$},
author = {Nikolai Nikolov and Pascal J. Thomas},
journal= {arXiv preprint arXiv:2109.01944},
year = {2024}
}
备注
v2: Results about ratio of invariant distances and some references have been added, some proofs have been streamlined. v3: Major revision. To appear in J. Geom. Anal