| dc.contributor.author | Deng, Fusheng | |
| dc.contributor.author | Fornæss, John Erik | |
| dc.date.accessioned | 2019-12-19T13:04:43Z | |
| dc.date.available | 2019-12-19T13:04:43Z | |
| dc.date.created | 2019-07-18T12:44:21Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Journal of Geometric Analysis. 2019, 1-14. | nb_NO |
| dc.identifier.issn | 1050-6926 | |
| dc.identifier.uri | http://hdl.handle.net/11250/2634159 | |
| dc.description.abstract | We construct examples of flat fiber bundles over the Hopf surface such that the total spaces have no pseudoconvex neighborhood basis, admit a complete Kähler metric, or are hyperconvex but have no nonconstant holomorphic functions. For any compact Riemannian surface of positive genus, we construct a flat P1 bundle over it and a Stein domain with real analytic boundary in it whose closure does not have pseudoconvex neighborhood basis. For a compact complex manifold with positive first Betti number, we construct a flat bundle over it such that the total space is hyperconvex but admits no nonconstant holomorphic functions. | nb_NO |
| dc.language.iso | eng | nb_NO |
| dc.publisher | Springer Verlag | nb_NO |
| dc.title | Flat Bundles Over Some Compact Complex Manifolds | nb_NO |
| dc.type | Journal article | nb_NO |
| dc.type | Peer reviewed | nb_NO |
| dc.description.version | acceptedVersion | nb_NO |
| dc.source.pagenumber | 1-14 | nb_NO |
| dc.source.journal | Journal of Geometric Analysis | nb_NO |
| dc.identifier.doi | 10.1007/s12220-019-00204-4 | |
| dc.identifier.cristin | 1711912 | |
| dc.description.localcode | "This is a post-peer-review, pre-copyedit version of an article. Locked until 10.5.2020 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1007/s12220-019-00204-4 | nb_NO |
| cristin.unitcode | 194,63,15,0 | |
| cristin.unitname | Institutt for matematiske fag | |
| cristin.ispublished | true | |
| cristin.fulltext | original | |
| cristin.qualitycode | 2 | |
