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dc.contributor.authorCapogna, Luca
dc.contributor.authorLe Donne, Enrico
dc.date.accessioned2020-02-26T05:19:25Z
dc.date.available2020-02-26T05:19:25Z
dc.date.issued2020
dc.identifier.citationCapogna, L., & Le Donne, E. (2020). Conformal equivalence of visual metrics in pseudoconvex domains. <i>Mathematische Annalen</i>, <i>377</i>(3-4), 1643-1672. <a href="https://doi.org/10.1007/s00208-020-01968-9" target="_blank">https://doi.org/10.1007/s00208-020-01968-9</a>
dc.identifier.otherCONVID_34733239
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/67969
dc.description.abstractWe refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometries between bounded, smooth strongly pseudoconvex domains in Cn are conformal with respect to the sub-Riemannian metric induced by the Levi form. As a corollary we obtain an alternative proof of a result of Fefferman on smooth extensions of biholomorphic mappings between bounded smooth pseudoconvex domains. The proofs are inspired by Mostow’s proof of his rigidity theorem and are based on the asymptotic hyperbolic character of the Kobayashi or Bergman metrics and on the Bonk-Schramm hyperbolic fillings.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesMathematische Annalen
dc.rightsCC BY 4.0
dc.titleConformal equivalence of visual metrics in pseudoconvex domains
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202002262197
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineGeometrinen analyysi ja matemaattinen fysiikkafi
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineAnalyysin ja dynamiikan tutkimuksen huippuyksikköfi
dc.contributor.oppiaineGeometric Analysis and Mathematical Physicsen
dc.contributor.oppiaineMathematicsen
dc.contributor.oppiaineAnalysis and Dynamics Research (Centre of Excellence)en
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1643-1672
dc.relation.issn0025-5831
dc.relation.numberinseries3-4
dc.relation.volume377
dc.type.versionpublishedVersion
dc.rights.copyright© Authors, 2020
dc.rights.accesslevelopenAccessfi
dc.subject.ysokompleksifunktiot
dc.subject.ysodifferentiaaligeometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p13391
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s00208-020-01968-9
jyx.fundinginformationOpen access funding provided by University of Jyväskylä (JYU).


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