SPACELIKE CAPILLARY SURFACES IN THE LORENTZ-MINKOWSKI SPACE
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Pyo, Juncheol | - |
dc.contributor.author | Seo, Keomkyo | - |
dc.date.available | 2021-02-22T13:15:45Z | - |
dc.date.issued | 2011-12 | - |
dc.identifier.issn | 0004-9727 | - |
dc.identifier.issn | 1755-1633 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/12437 | - |
dc.description.abstract | For a compact spacelike constant mean curvature surface with nonempty boundary in the three-dimensional Lorentz-Minkowski space, we introduce a rotation index of the lines of curvature at the boundary umbilical point, which was developed by Choe ['Sufficient conditions for constant mean curvature surfaces to be round', Math. Ann. 323(1) (2002), 143-156]. Using the concept of the rotation index at the interior and boundary umbilical points and applying the Poincare-Hopf index formula, we prove that a compact immersed spacelike disk type capillary surface with less than four vertices in a domain of L(3) bounded by (spacelike or timelike) totally umbilical surfaces is part of a (spacelike) plane or a hyperbolic plane. Moreover, we prove that the only immersed spacelike disk type capillary surface inside a de Sitter surface in L(3) is part of (spacelike) plane or a hyperbolic plane. | - |
dc.format.extent | 10 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | AUSTRALIAN MATHEMATICS PUBL ASSOC INC | - |
dc.title | SPACELIKE CAPILLARY SURFACES IN THE LORENTZ-MINKOWSKI SPACE | - |
dc.type | Article | - |
dc.publisher.location | 호주 | - |
dc.identifier.doi | 10.1017/S0004972711002528 | - |
dc.identifier.scopusid | 2-s2.0-80455150437 | - |
dc.identifier.wosid | 000297872200002 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.84, no.3, pp 362 - 371 | - |
dc.citation.title | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 84 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 362 | - |
dc.citation.endPage | 371 | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | CONSTANT MEAN-CURVATURE | - |
dc.subject.keywordPlus | BOUNDARY | - |
dc.subject.keywordPlus | HYPERSURFACES | - |
dc.subject.keywordAuthor | capillary surfaces | - |
dc.subject.keywordAuthor | spacelike surfaces | - |
dc.subject.keywordAuthor | constant mean curvature | - |
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