Isometric deformations of surfaces preserving the third fundamental form
| dc.contributor.author | Vlachos, T. | en |
| dc.date.accessioned | 2015-11-24T17:24:56Z | |
| dc.date.available | 2015-11-24T17:24:56Z | |
| dc.identifier.issn | 0373-3114 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12976 | |
| dc.rights | Default Licence | - |
| dc.subject | third fundamental form | en |
| dc.subject | isometric deformations | en |
| dc.subject | gauss map | en |
| dc.subject | conformal hypersurfaces | en |
| dc.title | Isometric deformations of surfaces preserving the third fundamental form | en |
| heal.abstract | We study the following problem: To what extend is a surface in the Euclidean space R-4 determined by the third fundamental form? We prove the existence of families of surfaces in R-4 which allow isometric deformations with isometric but not congruent Gaussian images. In particular, we provide a method which gives locally all surfaces in R-4 with conformal Gauss map that allow such deformations. As a consequence, we have a way for constructing non-spherical pseudoumbilical surfaces in R-4. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1007/s10231-006-0038-6 | - |
| heal.identifier.secondary | <Go to ISI>://000249777000009 | - |
| heal.identifier.secondary | http://link.springer.com/content/pdf/10.1007%2Fs10231-006-0038-6.pdf | - |
| heal.journalName | Annali Di Matematica Pura Ed Applicata | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2008 | - |
| 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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