RULED MINIMAL SURFACES IN PRODUCT SPACES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jin, Yuzi | - |
dc.contributor.author | Kim, Young Wook | - |
dc.contributor.author | Park, Namkyoung | - |
dc.contributor.author | Shin, Heayong | - |
dc.date.accessioned | 2021-09-03T17:35:03Z | - |
dc.date.available | 2021-09-03T17:35:03Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2016-11 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/87011 | - |
dc.description.abstract | It is well known that the helicoids are the only ruled minimal surfaces in R-3. The similar characterization for ruled minimal surfaces can be given in many other 3-dimensional homogeneous spaces. In this note we consider the product space M x R for a 2-dimensional manifold M and prove that M x R has a nontrivial minimal surface ruled by horizontal geodesics only when M has a Clairaut parametrization. Moreover such minimal surface is the trace of the longitude rotating in M while translating vertically in constant speed in the direction of R. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | RULED MINIMAL SURFACES IN PRODUCT SPACES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Young Wook | - |
dc.identifier.doi | 10.4134/BKMS.b160006 | - |
dc.identifier.scopusid | 2-s2.0-84996569809 | - |
dc.identifier.wosid | 000392751400025 | - |
dc.identifier.bibliographicCitation | Bulletin of the Korean Mathematical Society, v.53, no.6, pp.1887 - 1892 | - |
dc.relation.isPartOf | Bulletin of the Korean Mathematical Society | - |
dc.citation.title | Bulletin of the Korean Mathematical Society | - |
dc.citation.volume | 53 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 1887 | - |
dc.citation.endPage | 1892 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART002169209 | - |
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.keywordAuthor | ruled surface | - |
dc.subject.keywordAuthor | minimal surface | - |
dc.subject.keywordAuthor | helicoid | - |
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