DC Field | Value | Language |
---|---|---|
dc.contributor.author | Morabito, Filippo | ko |
dc.date.accessioned | 2016-12-29T07:19:24Z | - |
dc.date.available | 2016-12-29T07:19:24Z | - |
dc.date.created | 2016-06-07 | - |
dc.date.created | 2016-06-07 | - |
dc.date.created | 2016-06-07 | - |
dc.date.issued | 2016-11 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.443, no.1, pp.478 - 525 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/10203/214882 | - |
dc.description.abstract | The aim of this work is to show that for each finite natural number l >= 2 there exists a 1-parameter family of Saddle Tower type minimal surfaces embedded in S-2 x R, invariant with respect to a vertical translation. The genus of the quotient surface is 2l - 1. The proof is based on analytical techniques: precisely we desingularize of the union of gamma(j) x R, j is an element of {1, ... ,2l}, where gamma(j) subset of S-2 denotes a half great circle. These vertical cylinders intersect along a vertical straight line and its antipodal line. As byproduct of the construction we produce free boundary surfaces embedded in (S-2)(+) x R. Such surfaces are extended by reflection in partial derivative(S-2)(+) x R in order to get the minimal surfaces with the desired properties. (c) 2016 Published by Elsevier Inc. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | PRODUCT | - |
dc.title | Free boundaries surfaces and Saddle towers minimal surfaces in S-2 x R | - |
dc.type | Article | - |
dc.identifier.wosid | 000378301400025 | - |
dc.identifier.scopusid | 2-s2.0-85007227445 | - |
dc.type.rims | ART | - |
dc.citation.volume | 443 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 478 | - |
dc.citation.endingpage | 525 | - |
dc.citation.publicationname | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.identifier.doi | 10.1016/j.jmaa.2016.05.006 | - |
dc.contributor.localauthor | Morabito, Filippo | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Minimal surfaces | - |
dc.subject.keywordAuthor | Desingularization | - |
dc.subject.keywordAuthor | Perturbation method | - |
dc.subject.keywordAuthor | Free boundary surfaces | - |
dc.subject.keywordAuthor | Fixed point theorem | - |
dc.subject.keywordPlus | PRODUCT | - |
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