Kobayashi-Royden vs. Hahn pseudometric in ${\Bbb C}^2$
| dc.creator | Jarnicki, Witold | |
| dc.date | 2000-09-25 | |
| dc.date | 2000-10-24 | |
| dc.date.accessioned | 2026-07-07T04:37:41Z | |
| dc.date.available | 2026-07-07T04:37:41Z | |
| dc.description | For a domain $D\subset{\Bbb C}$ the Kobayashi--Royden $κ$ and Hahn $h$ pseudometrics are equal iff $D$ is simply connected. Overholt showed that for $D\subset{\Bbb C}^n$, $n\geq3$, we have $h_D\equivκ_D$. Let $D_1,D_2\subset{\Bbb C}$. The aim of this paper is to show that $h_{D_1\times D_2}\equivκ_{D_1\times D_2}$ iff at least one of $D_1$, $D_2$ is simply connected or biholomorphic to ${\Bbb C}\setminus\{0\}$. In particular, there are domains $D\subset{\Bbb C}^2$ for which $h_D\not\equivκ_D$. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009215 | |
| dc.identifier | http://arxiv.org/abs/math/0009215 | |
| dc.identifier | Ann. Polon. Math. 75 (2000), 289-294. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59992 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F45 | |
| dc.title | Kobayashi-Royden vs. Hahn pseudometric in ${\Bbb C}^2$ | |
| dc.type | text |