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Article: Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two
| Title | Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two |
|---|---|
| Authors | |
| Keywords | Holomorphic isometries Bounded symmetric domains |
| Issue Date | 2019 |
| Publisher | Association 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? |
| Abstract | We 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 Identifier | http://hdl.handle.net/10722/278196 |
| ISSN | 2021 Impact Factor: 0.978 2020 SCImago Journal Rankings: 1.611 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chan, ST | - |
| dc.contributor.author | Yuan, Y | - |
| dc.date.accessioned | 2019-10-04T08:09:20Z | - |
| dc.date.available | 2019-10-04T08:09:20Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.citation | Annales de l'institut Fourier, 2019, v. 69 n. 5, p. 2205-2240 | - |
| dc.identifier.issn | 0373-0956 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/278196 | - |
| dc.description.abstract | We 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.language | eng | - |
| dc.publisher | Association des Annales de l'Institut Fourier. The Journal's web site is located at http://www-fourier.ujf-grenoble.fr/ | - |
| dc.relation.ispartof | Annales de l'institut Fourier | - |
| dc.rights | Annales de l'institut Fourier. Copyright © Association des Annales de l'Institut Fourier. | - |
| dc.subject | Holomorphic isometries | - |
| dc.subject | Bounded symmetric domains | - |
| dc.title | Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two | - |
| dc.type | Article | - |
| dc.identifier.email | Chan, ST: mastchan@hku.hk | - |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.doi | 10.5802/aif.3293 | - |
| dc.identifier.scopus | eid_2-s2.0-85079288673 | - |
| dc.identifier.hkuros | 307045 | - |
| dc.identifier.volume | 69 | - |
| dc.identifier.issue | 5 | - |
| dc.identifier.spage | 2205 | - |
| dc.identifier.epage | 2240 | - |
| dc.identifier.isi | WOS:000486301300008 | - |
| dc.publisher.place | France | - |
| dc.identifier.issnl | 0373-0956 | - |