Minimal hypersurfaces with zero Gauss-Kronecker curvature
| dc.contributor.author | Hasanis, T. | en |
| dc.contributor.author | Savas-Halilaj, A. | en |
| dc.contributor.author | Vlachos, T. | en |
| dc.date.accessioned | 2015-11-24T17:25:22Z | |
| dc.date.available | 2015-11-24T17:25:22Z | |
| dc.identifier.issn | 0019-2082 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13031 | |
| dc.rights | Default Licence | - |
| dc.title | Minimal hypersurfaces with zero Gauss-Kronecker curvature | en |
| heal.abstract | We investigate complete minimal hypersurfaces in the Euclidean space R-4, with Gauss-Kronecker curvature identically zero. We prove that, if f : M-3 -> R-4 is a complete minimal hypersurface with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below, then f(M-3) splits as a Euclidean product L-2 x R, where L-2 is a complete minimal surface in R-3 with Gaussian curvature bounded from below. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000233210500012 | - |
| heal.journalName | Illinois Journal of Mathematics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2005 | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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