Biconservative surfaces with constant mean curvature in lorentzian space forms
| dc.contributor.author | Kayhan, A. | |
| dc.contributor.author | Turgay, Nurettin Cenk | |
| dc.date.accessioned | 2024-07-12T21:40:26Z | |
| dc.date.available | 2024-07-12T21:40:26Z | |
| dc.date.issued | 2024 | en_US |
| dc.department | [Belirlenecek] | en_US |
| dc.description.abstract | In this paper, we consider biconservative and biharmonic isometric immersions into the 4-dimensional Lorentzian space form L4(delta)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {L}}<^>4(\delta )$$\end{document} with constant sectional curvature delta\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document}. We obtain some local classifications of biconservative CMC surfaces in L4(delta)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {L}}<^>4(\delta )$$\end{document}. Further, we get complete classification of biharmonic CMC surfaces in the de Sitter 4-space. We also proved that there is no biharmonic CMC surface in the anti-de Sitter 4-space. Further, we get the classification of biconservative, quasi-minimal surfaces in Minkowski-4 space. | en_US |
| dc.identifier.doi | 10.1007/s12188-023-00273-x | |
| dc.identifier.issn | 0025-5858 | |
| dc.identifier.issn | 1865-8784 | |
| dc.identifier.scopus | 2-s2.0-85183435837 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s12188-023-00273-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/7270 | |
| dc.identifier.wos | WOS:001150779700001 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | KY05226 | |
| dc.subject | Biconservative Surfaces | en_US |
| dc.subject | Constant Mean Curvature | en_US |
| dc.subject | Lorentzian Space Forms | en_US |
| dc.subject | Quasi-Minimal Surfaces | en_US |
| dc.subject | De Sitter Space | en_US |
| dc.title | Biconservative surfaces with constant mean curvature in lorentzian space forms | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
