BJORLING FORMULA FOR MEAN CURVATURE ONE SURFACES IN HYPERBOLIC THREE-SPACE AND IN DE SITTER THREE-SPACE
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Seong-Deog | - |
dc.date.accessioned | 2021-09-03T11:13:29Z | - |
dc.date.available | 2021-09-03T11:13:29Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-01 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/84988 | - |
dc.description.abstract | We solve the Bjorling problem for constant mean curvature one surfaces in hyperbolic three-space and in de Sitter three-space. That is, we show that for any regular, analytic (and spacelike in the case of de Sitter three-space) curve gamma and an analytic (timelike in the case of de Sitter three-space) unit vector field N along and orthogonal to gamma, there exists a unique (spacelike in the case of de Sitter three-space) surface of constant mean curvature 1 which contains gamma and the unit normal of which on gamma is N. Some of the consequences are the planar reflection principles, and a classification of rotationally invariant CMC 1 surfaces. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.subject | TIME-LIKE SURFACES | - |
dc.subject | SPACELIKE HYPERSURFACES | - |
dc.subject | MAXIMAL SURFACES | - |
dc.subject | REPRESENTATION | - |
dc.subject | SINGULARITIES | - |
dc.title | BJORLING FORMULA FOR MEAN CURVATURE ONE SURFACES IN HYPERBOLIC THREE-SPACE AND IN DE SITTER THREE-SPACE | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Yang, Seong-Deog | - |
dc.identifier.doi | 10.4134/BKMS.b150984 | - |
dc.identifier.scopusid | 2-s2.0-85010782658 | - |
dc.identifier.wosid | 000396482600011 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.1, pp.159 - 175 | - |
dc.relation.isPartOf | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 54 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 159 | - |
dc.citation.endPage | 175 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART002193008 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | TIME-LIKE SURFACES | - |
dc.subject.keywordPlus | SPACELIKE HYPERSURFACES | - |
dc.subject.keywordPlus | MAXIMAL SURFACES | - |
dc.subject.keywordPlus | REPRESENTATION | - |
dc.subject.keywordPlus | SINGULARITIES | - |
dc.subject.keywordAuthor | Bjorling formula | - |
dc.subject.keywordAuthor | constant mean curvature surfaces | - |
dc.subject.keywordAuthor | de Sitter space | - |
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