Characterizations of a Clifford hypersurface in a unit sphere via Simons' integral inequalities
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Min, Sung-Hong | - |
dc.contributor.author | Seo, Keomkyo | - |
dc.date.available | 2021-02-22T11:24:06Z | - |
dc.date.issued | 2016-10 | - |
dc.identifier.issn | 0026-9255 | - |
dc.identifier.issn | 1436-5081 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/9387 | - |
dc.description.abstract | Let M be an n(>= 3)-dimensional closed hypersurface in a unit sphere with constant m-th order mean curvature and with two distinct principal curvatures. We obtain a sharp curvature integral for M in terms of Ricci curvature, which gives a characterization of a Clifford hypersurface. Moreover we give a generalization of Simons' integral inequality for closed hypersurface with vanishing m-th order mean curvature by making use of the Laplacian of the function of principal curvatures. | - |
dc.format.extent | 14 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | SPRINGER WIEN | - |
dc.title | Characterizations of a Clifford hypersurface in a unit sphere via Simons' integral inequalities | - |
dc.type | Article | - |
dc.publisher.location | 오스트리아 | - |
dc.identifier.doi | 10.1007/s00605-015-0842-4 | - |
dc.identifier.scopusid | 2-s2.0-84948414824 | - |
dc.identifier.wosid | 000382042400010 | - |
dc.identifier.bibliographicCitation | MONATSHEFTE FUR MATHEMATIK, v.181, no.2, pp 437 - 450 | - |
dc.citation.title | MONATSHEFTE FUR MATHEMATIK | - |
dc.citation.volume | 181 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 437 | - |
dc.citation.endPage | 450 | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | CONSTANT SCALAR CURVATURE | - |
dc.subject.keywordPlus | MINIMAL HYPERSURFACES | - |
dc.subject.keywordPlus | MEAN-CURVATURE | - |
dc.subject.keywordPlus | RIGIDITY | - |
dc.subject.keywordPlus | THEOREMS | - |
dc.subject.keywordAuthor | Clifford hypersurface | - |
dc.subject.keywordAuthor | Simons' integral inequality | - |
dc.subject.keywordAuthor | Ricci curvature | - |
dc.subject.keywordAuthor | Higher-order mean curvature | - |
dc.identifier.url | https://link.springer.com/article/10.1007%2Fs00605-015-0842-4 | - |
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