任意可见性域上Kobayashi距离的局部化
复变函数
2023-01-25 v3
摘要
在本文中,我们证明了 ()中具有局部可见性性质的Kobayashi双曲域的Kobayashi距离的局部化结果。这是通过证明Kobayashi-Royden伪度量的局部化结果,以及关于满足局部弱可见性的一些其他结果来实现的。
引用
@article{arxiv.2209.07782,
title = {Localization of the Kobayashi distance for any visibility domain},
author = {Amar Deep Sarkar},
journal= {arXiv preprint arXiv:2209.07782},
year = {2023}
}
备注
Proposition 3.2, Corollary 3.3 and Remark 3.4 of v2 are combined. The expositions of the proofs of the results are also improved without changing the main idea. 12 pages. To appear in The Journal of Geometric Analysis