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Article: Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two

TitleHolomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two
Authors
KeywordsHolomorphic isometries
Bounded symmetric domains
Issue Date2019
PublisherAssociation des Annales de l'Institut Fourier. The Journal's web site is located at http://www-fourier.ujf-grenoble.fr/
Citation
Annales de l'institut Fourier, 2019, v. 69 n. 5, p. 2205-2240 How to Cite?
AbstractWe first study holomorphic isometries from the Poincaré disk into the product of the unit disk and the complex unit n-ball for n≥2. On the other hand, we observe that there exists a holomorphic isometry from the product of the unit disk and the complex unit n-ball into any irreducible bounded symmetric domain of rank ≥2 which is not biholomorphic to any type-IV domain. In particular, our study provides many new examples of holomorphic isometries from the Poincaré disk into irreducible bounded symmetric domains of rank at least 2 except for type-IV domains.
Persistent Identifierhttp://hdl.handle.net/10722/278196
ISSN
2017 Impact Factor: 0.638
2015 SCImago Journal Rankings: 1.492
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChan, ST-
dc.contributor.authorYuan, Y-
dc.date.accessioned2019-10-04T08:09:20Z-
dc.date.available2019-10-04T08:09:20Z-
dc.date.issued2019-
dc.identifier.citationAnnales de l'institut Fourier, 2019, v. 69 n. 5, p. 2205-2240-
dc.identifier.issn0373-0956-
dc.identifier.urihttp://hdl.handle.net/10722/278196-
dc.description.abstractWe first study holomorphic isometries from the Poincaré disk into the product of the unit disk and the complex unit n-ball for n≥2. On the other hand, we observe that there exists a holomorphic isometry from the product of the unit disk and the complex unit n-ball into any irreducible bounded symmetric domain of rank ≥2 which is not biholomorphic to any type-IV domain. In particular, our study provides many new examples of holomorphic isometries from the Poincaré disk into irreducible bounded symmetric domains of rank at least 2 except for type-IV domains.-
dc.languageeng-
dc.publisherAssociation des Annales de l'Institut Fourier. The Journal's web site is located at http://www-fourier.ujf-grenoble.fr/-
dc.relation.ispartofAnnales de l'institut Fourier-
dc.rightsAnnales de l'institut Fourier. Copyright © Association des Annales de l'Institut Fourier.-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectHolomorphic isometries-
dc.subjectBounded symmetric domains-
dc.titleHolomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two-
dc.typeArticle-
dc.identifier.emailChan, ST: mastchan@hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.5802/aif.3293-
dc.identifier.hkuros307045-
dc.identifier.volume69-
dc.identifier.issue5-
dc.identifier.spage2205-
dc.identifier.epage2240-
dc.identifier.isiWOS:000486301300008-
dc.publisher.placeFrance-

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