Taut visibility domains are not necessarily Kobayashi complete
Complex Variables
2025-01-24 v2
Abstract
We answer a question asked recently by Banik in the negative by showing that for each , there exists a taut visibility domain in that is not Kobayashi complete. The domains that we produce are bounded and have boundaries that are very regular away from a single point.
Keywords
Cite
@article{arxiv.2407.07079,
title = {Taut visibility domains are not necessarily Kobayashi complete},
author = {Rumpa Masanta},
journal= {arXiv preprint arXiv:2407.07079},
year = {2025}
}
Comments
4 pages; added a reference and updated existing references. To appear in Proc. Amer. Math. Soc. Comments welcome!