Free boundary constant mean curvature surfaces in a strictly convex three-manifold
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Min, Sung-Hong | - |
dc.contributor.author | Seo, Keomkyo | - |
dc.date.accessioned | 2022-04-19T08:39:18Z | - |
dc.date.available | 2022-04-19T08:39:18Z | - |
dc.date.issued | 2022-04 | - |
dc.identifier.issn | 0232-704X | - |
dc.identifier.issn | 1572-9060 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/145852 | - |
dc.description.abstract | Let C be a strictly convex domain in a three-dimensional Riemannian manifold with sectional curvature bounded above by a constant, and let Sigma be a constant mean curvature surface with free boundary in C. We provide a pinching condition on the length of the traceless second fundamental form on Sigma which guarantees that the surface is homeomorphic to either a disk or an annulus. Furthermore, under the same pinching condition, we prove that if C is a geodesic ball of three-dimensional space forms, then Sigma is either a spherical cap or a Delaunay surface. | - |
dc.format.extent | 19 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | SPRINGER | - |
dc.title | Free boundary constant mean curvature surfaces in a strictly convex three-manifold | - |
dc.type | Article | - |
dc.publisher.location | 네델란드 | - |
dc.identifier.doi | 10.1007/s10455-022-09828-2 | - |
dc.identifier.scopusid | 2-s2.0-85123463767 | - |
dc.identifier.wosid | 000746308400001 | - |
dc.identifier.bibliographicCitation | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, v.61, no.3, pp 621 - 639 | - |
dc.citation.title | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | - |
dc.citation.volume | 61 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 621 | - |
dc.citation.endPage | 639 | - |
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 | MINIMAL-SURFACES | - |
dc.subject.keywordPlus | GAP THEOREM | - |
dc.subject.keywordPlus | HYPERSURFACES | - |
dc.subject.keywordPlus | INDEX | - |
dc.subject.keywordPlus | SPACE | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | BALLS | - |
dc.subject.keywordPlus | DISKS | - |
dc.subject.keywordAuthor | Free boundary | - |
dc.subject.keywordAuthor | Constant mean curvature | - |
dc.subject.keywordAuthor | Spherical cap | - |
dc.subject.keywordAuthor | Delaunay surface | - |
dc.subject.keywordAuthor | Strictly convex domain | - |
dc.subject.keywordAuthor | Space form | - |
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