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- Publisher Website: 10.1090/proc/12674
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Article: On global rigidity of the p-th root embedding
Title | On global rigidity of the p-th root embedding |
---|---|
Authors | |
Keywords | Hypersurface Holomorphic Holomorphic isometries |
Issue Date | 2015 |
Publisher | American Mathematical Society. The Journal's web site is located at http://www.ams.org/proc |
Citation | Proceedings of the American Mathematical Society, 2015, v. 144 n. 1, p. 347-358 How to Cite? |
Abstract | We study bona fide holomorphic isometric embeddings of the unit disk Δ into polydisks Δp (p ≥ 2) with sheeting number equal to p and the assumption that all component functions of such embeddings are non-constant. We prove that all such embeddings are congruent to the p-th root embedding. © 2015 American Mathematical Society. |
Persistent Identifier | http://hdl.handle.net/10722/278195 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | CHAN, ST | - |
dc.date.accessioned | 2019-10-04T08:09:19Z | - |
dc.date.available | 2019-10-04T08:09:19Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Proceedings of the American Mathematical Society, 2015, v. 144 n. 1, p. 347-358 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10722/278195 | - |
dc.description.abstract | We study bona fide holomorphic isometric embeddings of the unit disk Δ into polydisks Δp (p ≥ 2) with sheeting number equal to p and the assumption that all component functions of such embeddings are non-constant. We prove that all such embeddings are congruent to the p-th root embedding. © 2015 American Mathematical Society. | - |
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.subject | Hypersurface | - |
dc.subject | Holomorphic | - |
dc.subject | Holomorphic isometries | - |
dc.title | On global rigidity of the p-th root embedding | - |
dc.type | Article | - |
dc.identifier.email | CHAN, ST: puremath.stschan@gmail.com | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1090/proc/12674 | - |
dc.identifier.scopus | eid_2-s2.0-84945252951 | - |
dc.identifier.hkuros | 307044 | - |
dc.identifier.volume | 144 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 347 | - |
dc.identifier.epage | 358 | - |
dc.identifier.isi | WOS:000364414300031 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0002-9939 | - |