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- Publisher Website: 10.1090/proc/14657
- Scopus: eid_2-s2.0-85076801186
- WOS: WOS:000515134400018
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Article: On proper holomorphic maps between bounded symmetric domains
| Title | On proper holomorphic maps between bounded symmetric domains |
|---|---|
| Authors | |
| Issue Date | 2020 |
| Publisher | American Mathematical Society. The Journal's web site is located at http://www.ams.org/proc |
| Citation | Proceedings of the American Mathematical Society, 2020, v. 148 n. 1, p. 173-184 How to Cite? |
| Abstract | We study proper holomorphic maps between bounded symmetricdomainsDandΩ. Inparticular,whenDand Ω are of the same rank≥2such that all irreducible factors ofDare of rank≥2, we prove that any properholomorphic map fromDto Ω is a totally geodesicholomorphic isometricembedding with respect to certain canonical K ̈ahler metrics ofDand Ω. Wealso obtain some results regarding holomorphic mapsF:D→Ωwhichmapminimal disks ofDproperly into rank-1 characteristic symmetric subspaces ofΩ. On the other hand, we obtain new rigidity results regarding semi-productproper holomorphic maps betweenDand Ω under a certain rank condition onDand Ω. |
| Persistent Identifier | http://hdl.handle.net/10722/272211 |
| ISSN | 2021 Impact Factor: 0.971 2020 SCImago Journal Rankings: 0.968 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chan, ST | - |
| dc.date.accessioned | 2019-07-20T10:37:51Z | - |
| dc.date.available | 2019-07-20T10:37:51Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.citation | Proceedings of the American Mathematical Society, 2020, v. 148 n. 1, p. 173-184 | - |
| dc.identifier.issn | 0002-9939 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/272211 | - |
| dc.description.abstract | We study proper holomorphic maps between bounded symmetricdomainsDandΩ. Inparticular,whenDand Ω are of the same rank≥2such that all irreducible factors ofDare of rank≥2, we prove that any properholomorphic map fromDto Ω is a totally geodesicholomorphic isometricembedding with respect to certain canonical K ̈ahler metrics ofDand Ω. Wealso obtain some results regarding holomorphic mapsF:D→Ωwhichmapminimal disks ofDproperly into rank-1 characteristic symmetric subspaces ofΩ. On the other hand, we obtain new rigidity results regarding semi-productproper holomorphic maps betweenDand Ω under a certain rank condition onDand Ω. | - |
| dc.language | eng | - |
| dc.publisher | American Mathematical Society. The Journal's web site is located at http://www.ams.org/proc | - |
| dc.relation.ispartof | Proceedings of the American Mathematical Society | - |
| dc.rights | First published in [Publication] in [volume and number, or year], published by the American Mathematical Society | - |
| dc.title | On proper holomorphic maps between bounded symmetric domains | - |
| dc.type | Article | - |
| dc.identifier.email | Chan, ST: mastchan@hku.hk | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1090/proc/14657 | - |
| dc.identifier.scopus | eid_2-s2.0-85076801186 | - |
| dc.identifier.hkuros | 298630 | - |
| dc.identifier.volume | 148 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 173 | - |
| dc.identifier.epage | 184 | - |
| dc.identifier.isi | WOS:000515134400018 | - |
| dc.publisher.place | United States | - |
| dc.identifier.issnl | 0002-9939 | - |