On biconservative surfaces in 4-dimensional Euclidean space
| dc.authorid | 0000-0002-2642-1722 | |
| dc.authorid | 0000-0002-0171-3876 | |
| dc.contributor.author | Sen, Ruya Yegin | |
| dc.contributor.author | Turgay, Nurettin Cenk | |
| dc.date.accessioned | 2025-05-10T19:50:19Z | |
| dc.date.issued | 2018 | |
| dc.department | İstanbul Medeniyet Üniversitesi | |
| dc.description.abstract | In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the Euclidean 4-space E-4. First, we determine locally all parallel normalized mean curvature vector (PNMCV) biconservative surfaces in E-4, showing that they are certain rotational surfaces. Then, we consider meridian surfaces lying on a rotational hypersurface of E-4 and construct a family of biconservative surfaces with flat normal bundle and non-parallel normalized mean curvature vector. (C) 2017 Elsevier Inc. All rights reserved. | |
| dc.description.sponsorship | Research Fund of the Istanbul Medeniyet University [F-GAP-2017-986] | |
| dc.description.sponsorship | This work was obtained during the project supported by Research Fund of the Istanbul Medeniyet University (Project Number: F-GAP-2017-986). | |
| dc.identifier.doi | 10.1016/j.jmaa.2017.12.009 | |
| dc.identifier.endpage | 581 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85037725852 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 565 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2017.12.009 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14730/12308 | |
| dc.identifier.volume | 460 | |
| dc.identifier.wos | WOS:000425705800006 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Academic Press Inc Elsevier Science | |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WOS_20250302 | |
| dc.subject | Biconservative surfaces | |
| dc.subject | Parallel normalized mean curvature vectors | |
| dc.subject | Meridian surfaces | |
| dc.title | On biconservative surfaces in 4-dimensional Euclidean space | |
| dc.type | Article |
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