On univalence of equivariant Riemann domains over the complexification of a non-compact, Riemannian symmetric space
| dc.creator | Geatti, Laura | |
| dc.creator | Iannuzzi, Andrea | |
| dc.date | 2006-12-06 | |
| dc.date | 2006-12-22 | |
| dc.date.accessioned | 2026-07-07T07:36:49Z | |
| dc.date.available | 2026-07-07T07:36:49Z | |
| dc.description | Let G/K be a non-compact, rank-one, Riemannian symmetric space and let G^C be the universal complexification of G. We prove that a holomorphically separable, G-equivariant Riemann domain over G^C / K^C is necessarily univalent, provided that G is not a covering of SL(2, R). As a consequence of the above statement one obtains a univalence result for holomorphically separable, G x K -equivariant Riemann domains over G^C. Here G x K acts on G^C by left and right translations. The proof of such results involves a detailed study of the G-invariant complex geometry of the quotient G^C / K^C, including a complete classification of all its Stein G-invariant subdomains. | |
| dc.description | 46 pages, no figures. v2: minor correction, references updated | |
| dc.identifier | https://arxiv.org/abs/math/0612169 | |
| dc.identifier | http://arxiv.org/abs/math/0612169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120563 | |
| dc.subject | Complex Variables | |
| dc.subject | 32D26; 32Q28; 53C35; 32M05 | |
| dc.title | On univalence of equivariant Riemann domains over the complexification of a non-compact, Riemannian symmetric space | |
| dc.type | text |