Liouville and Carathéodory coverings in Riemannian and complex geometry
| dc.creator | Lin, Vladimir | |
| dc.creator | Zaidenberg, Mikhail | |
| dc.date | 1996-11-18 | |
| dc.date | 1997-04-11 | |
| dc.date.accessioned | 2026-07-07T09:01:47Z | |
| dc.date.available | 2026-07-07T09:01:47Z | |
| dc.description | A Riemannian manifold resp. a complex space $X$ is called Liouville if it carries no nonconstant bounded harmonic resp. holomorphic functions. It is called Carathéodory, or Carathéodory hyperbolic, if bounded harmonic resp. holomorphic functions separate the points of $X$. The problems which we discuss in this paper arise from the following question: When a Galois covering $X$ with Galois group $G$ over a Liouville base $Y$ is Liouville or, at least, is not Carathéodory hyperbolic? | |
| dc.description | 20 pages, AMSTeX. A revised version. The proof of Theorem 3.1 has been completed, and some other minor correction has been done | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9611020 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9611020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148400 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E20 (Primary) 32H25, 53B35 (Secondary) | |
| dc.title | Liouville and Carathéodory coverings in Riemannian and complex geometry | |
| dc.type | text |