dc.contributor.author | Bracci, Filippo | |
dc.contributor.author | Fornæss, John Erik | |
dc.contributor.author | Wold, Erlend Fornæss | |
dc.date.accessioned | 2019-01-16T10:14:08Z | |
dc.date.available | 2019-01-16T10:14:08Z | |
dc.date.created | 2018-10-11T15:16:27Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Mathematische Zeitschrift. 2018, 1-15. | nb_NO |
dc.identifier.issn | 0025-5874 | |
dc.identifier.uri | http://hdl.handle.net/11250/2580830 | |
dc.description.abstract | We prove that for a strongly pseudoconvex domain D ⊂ C n , the infinitesimal Carath´eodory metric gC (z, v) and the infinitesimal Kobayashi metric gK(z, v) coincide if z is sufficiently close to bD and if v is sufficiently close to being tangential to bD. Also, we show that every two close points of D sufficiently close to the boundary and whose difference is almost tangential to bD can be joined by a (unique up to reparameterization) complex geodesic of D which is also a holomorphic retract of D. The same continues to hold if D is a worm domain, as long as the points are sufficiently close to a strongly pseudoconvex boundary point. We also show that a strongly pseudoconvex boundary point of a worm domain can be globally exposed; this has consequences for the behavior of the squeezing function. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.title | Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 1-15 | nb_NO |
dc.source.journal | Mathematische Zeitschrift | nb_NO |
dc.identifier.doi | 10.1007/s00209-018-2114-1 | |
dc.identifier.cristin | 1619759 | |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article published in [journal] Locked until 13.8.2019 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1007/s00209-018-2114-1 | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |