| dc.contributor.author | Arslan, Kadri | |
| dc.contributor.author | Bayram, Bengü | |
| dc.contributor.author | Bulca, Betül | |
| dc.contributor.author | Öztürk, Günay | |
| dc.date.accessioned | 2019-09-27T06:24:31Z | |
| dc.date.available | 2019-09-27T06:24:31Z | |
| dc.date.issued | 2016 | en_US |
| dc.identifier.issn | 1406-2283 | |
| dc.identifier.issn | 2228-4699 | |
| dc.identifier.uri | https://doi.org/10.12697/ACUTM.2016.20.11 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12462/6475 | |
| dc.description | Bayram, Bengü (Balikesir Author) | en_US |
| dc.description.abstract | We consider translation surfaces in Euclidean spaces. Firstly, we give some results of translation surfaces in the 3-dimensional Euclidean space E-3. Further, we consider translation surfaces in the 4-dimensional Euclidean space E-4. We prove that
a translation surface is flat in E-4 if and only if it is either a hyperplane or a hypercylinder. Finally we give necessary and sufficient condition for a quadratic triangular Bezier surface in E-4 to Become A translation surface. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Univ Tartu Press | en_US |
| dc.relation.isversionof | 10.12697 /ACUTM.2016.20.11 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Translation Surface | en_US |
| dc.subject | Mean Curvature | en_US |
| dc.subject | Gaussian Curvature | en_US |
| dc.subject | Second Fundamental Map Form | en_US |
| dc.title | On translation surfaces in 4-dimensional Euclidean space | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Acta et Commentationes Universitatis Tartuensis de Mathematica | en_US |
| dc.contributor.department | Fen Edebiyat Fakültesi | en_US |
| dc.identifier.volume | 20 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 123 | en_US |
| dc.identifier.endpage | 133 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
