Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
dc.authorid | 0000-0002-5225-186X | |
dc.authorid | 0000-0002-0171-3876 | |
dc.contributor.author | Dursun, Uğur | en_US |
dc.contributor.author | Turgay, Nurettin Cenk | en_US |
dc.date.accessioned | 2021-05-03T08:19:42Z | |
dc.date.available | 2021-05-03T08:19:42Z | |
dc.date.issued | 2021-06 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description.abstract | In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I× fE² with the metric g~ = - d t²+ f²(t) (d x²+ d y²) , where I is an open interval, f is a strictly positive function on I, and E² is the Euclidean plane. We obtain a classification of all constant angle space-like and time-like surfaces in - I× fE². In this classification, we determine space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we obtain some results on constant angle space-like and time-like surfaces of the de Sitter space S13(1). | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.citation | Dursun, U. & Turgay, N. C. (2021). Constant angle surfaces in the Lorentzian warped product manifold – I × fE². Mediterranean Journal of Mathematics, 18(3), 1-20. doi:10.1007/s00009-021-01763-z | en_US |
dc.identifier.doi | 10.1007/s00009-021-01763-z | |
dc.identifier.endpage | 20 | |
dc.identifier.issn | 1660-5446 | |
dc.identifier.issn | 1660-5454 | |
dc.identifier.issue | 3 | |
dc.identifier.scopus | 2-s2.0-85104558686 | |
dc.identifier.scopusquality | Q2 | |
dc.identifier.startpage | 1 | |
dc.identifier.uri | https://hdl.handle.net/11729/3143 | |
dc.identifier.uri | http://dx.doi.org/10.1007/s00009-021-01763-z | |
dc.identifier.volume | 18 | |
dc.identifier.wos | WOS:000641651300005 | |
dc.identifier.wosquality | Q2 | |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.institutionauthor | Dursun, Uğur | en_US |
dc.institutionauthorid | 0000-0002-5225-186X | |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Birkhauser | en_US |
dc.relation.ispartof | Mediterranean Journal of Mathematics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Constant angle surface | en_US |
dc.subject | de Sitter space | en_US |
dc.subject | Maximal surface | en_US |
dc.subject | Rotational surface | en_US |
dc.subject | Warped product | en_US |
dc.title | Constant angle surfaces in the Lorentzian warped product manifold – I × fE² | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |