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복소기하학연구단
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Totally geodesic discs in bounded symmetric domains

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dc.contributor.authorSung-Yeon Kim-
dc.contributor.authorSeo, Aeryeong-
dc.date.accessioned2022-08-11T22:00:10Z-
dc.date.available2022-08-11T22:00:10Z-
dc.date.created2022-07-11-
dc.date.issued2022-09-
dc.identifier.issn2524-7581-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/12209-
dc.description.abstractIn this paper, we characterize C2-smooth totally geodesic isometric embeddings f: Ω → Ω ′ between bounded symmetric domains Ω and Ω ′ which extend C1-smoothly over some open subset in the Shilov boundaries and have nontrivial normal derivatives on it. In particular, if Ω is irreducible, there exist totally geodesic bounded symmetric subdomains Ω 1 and Ω 2 of Ω ′ such that f= (f1, f2) maps into Ω 1× Ω 2⊂ Ω where f1 is holomorphic and f2 is anti-holomorphic totally geodesic isometric embeddings. If rank (Ω ′) < 2 rank (Ω) , then either f or f¯ is a standard holomorphic embedding.-
dc.language영어-
dc.publisherSpringer International Publishing-
dc.titleTotally geodesic discs in bounded symmetric domains-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.scopusid2-s2.0-85132101932-
dc.identifier.rimsid78437-
dc.contributor.affiliatedAuthorSung-Yeon Kim-
dc.identifier.doi10.1007/s40627-022-00098-z-
dc.identifier.bibliographicCitationComplex Analysis and its Synergies, v.8, no.3-
dc.relation.isPartOfComplex Analysis and its Synergies-
dc.citation.titleComplex Analysis and its Synergies-
dc.citation.volume8-
dc.citation.number3-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscopus-
dc.subject.keywordAuthorBergman metric-
dc.subject.keywordAuthorBounded symmetric domain-
dc.subject.keywordAuthorHolomorphicity-
dc.subject.keywordAuthorTotally geodesic isometric embedding-
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Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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