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Article: On global rigidity of the p-th root embedding

TitleOn global rigidity of the p-th root embedding
Authors
CHAN, ST
KeywordsHypersurface
Holomorphic
Holomorphic isometries
Issue Date2015
PublisherAmerican 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?
DOI: http://dx.doi.org/10.1090/proc/12674
AbstractWe 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 Identifierhttp://hdl.handle.net/10722/278195
ISSN
0002-9939
2023 Impact Factor: 0.8
2023 SCImago Journal Rankings: 0.837
ISI Accession Number ID
WOS:000364414300031

 

DC FieldValueLanguage
dc.contributor.authorCHAN, ST-
dc.date.accessioned2019-10-04T08:09:19Z-
dc.date.available2019-10-04T08:09:19Z-
dc.date.issued2015-
dc.identifier.citationProceedings of the American Mathematical Society, 2015, v. 144 n. 1, p. 347-358-
dc.identifier.issn0002-9939-
dc.identifier.urihttp://hdl.handle.net/10722/278195-
dc.description.abstractWe 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.languageeng-
dc.publisherAmerican Mathematical Society. The Journal's web site is located at http://www.ams.org/proc-
dc.relation.ispartofProceedings of the American Mathematical Society-
dc.rightsFirst published in [Publication] in [volume and number, or year], published by the American Mathematical Society-
dc.subjectHypersurface-
dc.subjectHolomorphic-
dc.subjectHolomorphic isometries-
dc.titleOn global rigidity of the p-th root embedding-
dc.typeArticle-
dc.identifier.emailCHAN, ST: puremath.stschan@gmail.com-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1090/proc/12674-
dc.identifier.scopuseid_2-s2.0-84945252951-
dc.identifier.hkuros307044-
dc.identifier.volume144-
dc.identifier.issue1-
dc.identifier.spage347-
dc.identifier.epage358-
dc.identifier.isiWOS:000364414300031-
dc.publisher.placeUnited States-
dc.identifier.issnl0002-9939-

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